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The Santa Cruz Conference on Finite Groups
 
Edited by: Bruce Cooperstein
Geoffrey Mason
The Santa Cruz Conference on Finite Groups
Hardcover ISBN:  978-0-8218-1440-6
Product Code:  PSPUM/37
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9326-5
Product Code:  PSPUM/37.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-1440-6
eBook: ISBN:  978-0-8218-9326-5
Product Code:  PSPUM/37.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Add to cart
The Santa Cruz Conference on Finite Groups
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The Santa Cruz Conference on Finite Groups
Edited by: Bruce Cooperstein
Geoffrey Mason
Hardcover ISBN:  978-0-8218-1440-6
Product Code:  PSPUM/37
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9326-5
Product Code:  PSPUM/37.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-1440-6
eBook ISBN:  978-0-8218-9326-5
Product Code:  PSPUM/37.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Add to cart
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 37; 1981; 634 pp
    MSC: Primary 20
  • Table of Contents
     
     
    • Part I: Classification theory of simple finite groups
    • Daniel Gorenstein — An outline of the classification of finite simple groups [ MR 604552 ]
    • Michael Aschbacher — Groups of characteristic $2$-type [ MR 604553 ]
    • Richard Foote — Aschbacher blocks [ MR 604554 ]
    • Ronald Solomon — Some results on standard blocks [ MR 604555 ]
    • Richard Lyons — Signalizer functors in groups of characteristic $2$ type [ MR 604556 ]
    • John H. Walter — The $B$-conjecture: $2$-components in finite simple groups [ MR 604557 ]
    • Ronald Solomon — The maximal $2$-component approach to the $B(G)$ conjecture [ MR 604558 ]
    • Morton E. Harris — Finite groups having an involution centralizer with a $2$-component of dihedral type [ MR 604559 ]
    • Morton E. Harris — On Chevalley groups over fields of odd order, the unbalanced group conjecture and the $B(G)$-conjecture [ MR 604560 ]
    • Kensaku Gomi — Remarks on certain standard component problems and the unbalanced group conjecture [ MR 604561 ]
    • Robert Gilman — Odd standard components [ MR 604562 ]
    • Izumi Miyamoto — Standard subgroups of Chevalley type of rank $2$ and characteristic $2$ [ MR 604563 ]
    • Hiromichi Yamada — Standard subgroups of type $G_{2}(3)$ [ MR 604564 ]
    • Larry Finkelstein — Open standard form problems [ MR 604565 ]
    • F. Timmesfeld — Groups generated by a conjugacy class of involutions [ MR 604566 ]
    • Stephen D. Smith — The classification of finite groups with large extraspecial $2$-subgroups [ MR 604567 ]
    • Sergei Syskin, A. — Some characterization theorems [ MR 604568 ]
    • Bernd Stellmacher — On finite groups whose Sylow $2$-subgroups are contained in unique maximal subgroups [ MR 604569 ]
    • G. Stroth — Groups having a self-centralizing elementary abelian subgroup of order $16$ [ MR 604570 ]
    • George Glauberman — $p$-local subgroups [ MR 604571 ]
    • George Glauberman — Local analysis in the odd order paper
    • Michio Suzuki — Finite groups with a split $BN$-pair of rank one [ MR 604572 ]
    • Koichiro Harada — Finite groups of low $2$-rank, revisited [ MR 604573 ]
    • Geoffrey Mason — Quasithin groups [ MR 604574 ]
    • Part II: General theory of groups
    • Helmut Wielandt — Zusammengesetzte Gruppen: Hölders Programm heute [ MR 604575 ]
    • Walter Feit — Some consequences of the classification of finite simple groups [ MR 604576 ]
    • John McKay — Graphs, singularities, and finite groups [ MR 604577 ]
    • Hsio Fu Tuan — Works on finite group theory by some Chinese mathematicians [ MR 604578 ]
    • J. S. Williams — The prime graph components of finite groups [ MR 604579 ]
    • Zvi Arad and David Chillag — $\pi $-solvability and nilpotent Hall subgroups [ MR 604580 ]
    • Zvi Arad, Marcel Herzog and Ahiezer Shaki — On maximal subgroups with a nilpotent subgroup of index $2$ [ MR 604581 ]
    • Anthony Hughes — Automorphisms of nilpotent groups and supersolvable orders [ MR 604582 ]
    • A. R. Camina — A short survey of Fitting classes [ MR 604583 ]
    • Tomoyuki Yoshida — Transfer theorems [ MR 604584 ]
    • Gilbert Baumslag — Problem areas in infinite group theory for finite group theorists [ MR 604585 ]
    • L. G. Kovács — Classification theorems for torsion-free groups [ MR 604586 ]
    • Part III: Properties of the known groups
    • Gary M. Seitz — Properties of the known simple groups [ MR 604587 ]
    • Gary M. Seitz — The root groups of a maximal torus [ MR 604588 ]
    • B. Cooperstein — Geometry of long root subgroups in groups of Lie type [ MR 604589 ]
    • B. Cooperstein — $S$- and $F$-pairs for groups of Lie type in characteristic two [ MR 604590 ]
    • T. A. Springer — Geometric questions arising in the study of unipotent elements [ MR 604591 ]
    • Robert Steinberg — Kleinian singularities and unipotent elements [ MR 604592 ]
    • Simon Norton — The construction of $J_{4}$ [ MR 604593 ]
    • Robert L. Griess, Jr. — Schur multipliers of the known finite simple groups. II [ MR 604594 ]
    • M. A. Ronan and S. D. Smith — $2$-local geometries for some sporadic groups [ MR 604595 ]
    • Part IV: Representation theory of groups of Lie-type
    • Charles W. Curtis — Problems concerning characters of finite groups of Lie type [ MR 604596 ]
    • R. W. Carter — The relation between characteristic $0$ representations and characteristic $p$ representations of finite groups of Lie type [ MR 604597 ]
    • George Lusztig — Some problems in the representation theory of finite Chevalley groups [ MR 604598 ]
    • Leonard L. Scott — Representations in characteristic $p$ [ MR 604599 ]
    • Bhama Srinivasan — Characters of finite groups of Lie type. II [ MR 604600 ]
    • R. W. Kilmoyer — Principal series representations of finite groups with split $(BN)$-pairs [ MR 604601 ]
    • J. E. Humphreys — Cartan invariants and decomposition numbers of Chevalley groups [ MR 604602 ]
    • Dean Alvis — Duality in the character ring of a finite Chevalley group [ MR 604603 ]
    • Leonard Chastkofsky — Characters of projective indecomposable modules for finite Chevalley groups [ MR 604604 ]
    • N. B. Tinberg — Some indecomposable modules of groups with split $(B,\,N)$-pairs [ MR 604605 ]
    • Part V: Character theory of finite groups
    • J. L. Alperin — Local representation theory [ MR 604606 ]
    • I. M. Isaacs — Characters of solvable groups [ MR 604607 ]
    • Lluís Puig — Local block theory in $p$-solvable groups [ MR 604608 ]
    • Dilip Gajendragadkar — Characters of finite $\pi $-separable groups [ MR 604609 ]
    • Michel Broué — On characters of height zero [ MR 604610 ]
    • Harvey I. Blau — Brauer trees and character degrees [ MR 604611 ]
    • Everett C. Dade — A correspondence of characters [ MR 604612 ]
    • Walter Feit — Irreducible modules of $p$-solvable groups [ MR 604613 ]
    • Pamela A. Ferguson — Finite complex linear groups of degree less than $(2q+1)/3$ [ MR 604614 ]
    • Peter Landrock and Gerhard O. Michler — A criterion for cyclicity [ MR 604615 ]
    • David Gluck — A characterization of generalized permutation characters [ MR 604616 ]
    • Marcel Herzog — Character tables, trivial intersections and number of involutions [ MR 604617 ]
    • T. R. Berger — Representation theory and solvable groups: length type problems [ MR 604618 ]
    • Part VI: Combinatorics
    • Marshall Hall, Jr. — Group problems arising from combinatorics [ MR 604619 ]
    • Ernest Shult — Group-related geometries [ MR 604620 ]
    • Saeed Shad and Ernest Shult — Near $n$-gons [ MR 604621 ]
    • Eiichi Bannai — Orthogonal polynomials, algebraic combinatorics and spherical $t$-designs [ MR 604622 ]
    • T. G. Ostrom — Finite translation planes and group representation [ MR 604623 ]
    • Christoph Hering — Finite collineation groups of projective planes containing nontrivial perspectivities [ MR 604624 ]
    • William M. Kantor — Further problems concerning finite geometries and finite groups [ MR 604625 ]
    • Part VII: Computer applications
    • John J. Cannon — Effective procedures for the recognition of primitive groups [ MR 604626 ]
    • John J. Cannon — Software tools for group theory [ MR 604627 ]
    • Volkmar Felsch — The computation of a counterexample to the class-breadth conjecture for $p$-groups [ MR 604628 ]
    • David C. Hunt — A computer-based atlas of finite simple groups [ MR 604629 ]
    • Jeffrey S. Leon — Finding the order of a permutation group [ MR 604630 ]
    • Part VIII: Connections with number theory and other fields
    • A. P. Ogg — Modular functions [ MR 604631 ]
    • J. G. Thompson — A finiteness theorem for subgroups of $\mathrm {PSL}(2,\,\mathbf {R})$ which are commensurable with $\mathrm {PSL}(2,\,\mathbf {Z})$ [ MR 604632 ]
    • Paul Fong — Characters arising in the Monster-modular connection [ MR 604633 ]
    • Larissa Queen — Modular functions and finite simple groups [ MR 604634 ]
    • J. Lepowsky — Euclidean Lie algebras and the modular function $j$ [ MR 604635 ]
    • M. Fried — Exposition on an arithmetic-group theoretic connection via Riemann’s existence theorem [ MR 604636 ]
    • D. Husemoller — Burnside ring of a Galois group and the relations between zeta functions of intermediate fields [ MR 604637 ]
    • D. Husemoller — Finite automorphism groups of algebraic varieties [ MR 604638 ]
    • Ted Petrie — Transformation groups and representation theory [ MR 604639 ]
    • I. M. Isaacs — Lie algebras with nilpotent centralizers [ MR 604640 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Proceedings of Symposia in Pure Mathematics
Volume: 37; 1981; 634 pp
MSC: Primary 20
  • Part I: Classification theory of simple finite groups
  • Daniel Gorenstein — An outline of the classification of finite simple groups [ MR 604552 ]
  • Michael Aschbacher — Groups of characteristic $2$-type [ MR 604553 ]
  • Richard Foote — Aschbacher blocks [ MR 604554 ]
  • Ronald Solomon — Some results on standard blocks [ MR 604555 ]
  • Richard Lyons — Signalizer functors in groups of characteristic $2$ type [ MR 604556 ]
  • John H. Walter — The $B$-conjecture: $2$-components in finite simple groups [ MR 604557 ]
  • Ronald Solomon — The maximal $2$-component approach to the $B(G)$ conjecture [ MR 604558 ]
  • Morton E. Harris — Finite groups having an involution centralizer with a $2$-component of dihedral type [ MR 604559 ]
  • Morton E. Harris — On Chevalley groups over fields of odd order, the unbalanced group conjecture and the $B(G)$-conjecture [ MR 604560 ]
  • Kensaku Gomi — Remarks on certain standard component problems and the unbalanced group conjecture [ MR 604561 ]
  • Robert Gilman — Odd standard components [ MR 604562 ]
  • Izumi Miyamoto — Standard subgroups of Chevalley type of rank $2$ and characteristic $2$ [ MR 604563 ]
  • Hiromichi Yamada — Standard subgroups of type $G_{2}(3)$ [ MR 604564 ]
  • Larry Finkelstein — Open standard form problems [ MR 604565 ]
  • F. Timmesfeld — Groups generated by a conjugacy class of involutions [ MR 604566 ]
  • Stephen D. Smith — The classification of finite groups with large extraspecial $2$-subgroups [ MR 604567 ]
  • Sergei Syskin, A. — Some characterization theorems [ MR 604568 ]
  • Bernd Stellmacher — On finite groups whose Sylow $2$-subgroups are contained in unique maximal subgroups [ MR 604569 ]
  • G. Stroth — Groups having a self-centralizing elementary abelian subgroup of order $16$ [ MR 604570 ]
  • George Glauberman — $p$-local subgroups [ MR 604571 ]
  • George Glauberman — Local analysis in the odd order paper
  • Michio Suzuki — Finite groups with a split $BN$-pair of rank one [ MR 604572 ]
  • Koichiro Harada — Finite groups of low $2$-rank, revisited [ MR 604573 ]
  • Geoffrey Mason — Quasithin groups [ MR 604574 ]
  • Part II: General theory of groups
  • Helmut Wielandt — Zusammengesetzte Gruppen: Hölders Programm heute [ MR 604575 ]
  • Walter Feit — Some consequences of the classification of finite simple groups [ MR 604576 ]
  • John McKay — Graphs, singularities, and finite groups [ MR 604577 ]
  • Hsio Fu Tuan — Works on finite group theory by some Chinese mathematicians [ MR 604578 ]
  • J. S. Williams — The prime graph components of finite groups [ MR 604579 ]
  • Zvi Arad and David Chillag — $\pi $-solvability and nilpotent Hall subgroups [ MR 604580 ]
  • Zvi Arad, Marcel Herzog and Ahiezer Shaki — On maximal subgroups with a nilpotent subgroup of index $2$ [ MR 604581 ]
  • Anthony Hughes — Automorphisms of nilpotent groups and supersolvable orders [ MR 604582 ]
  • A. R. Camina — A short survey of Fitting classes [ MR 604583 ]
  • Tomoyuki Yoshida — Transfer theorems [ MR 604584 ]
  • Gilbert Baumslag — Problem areas in infinite group theory for finite group theorists [ MR 604585 ]
  • L. G. Kovács — Classification theorems for torsion-free groups [ MR 604586 ]
  • Part III: Properties of the known groups
  • Gary M. Seitz — Properties of the known simple groups [ MR 604587 ]
  • Gary M. Seitz — The root groups of a maximal torus [ MR 604588 ]
  • B. Cooperstein — Geometry of long root subgroups in groups of Lie type [ MR 604589 ]
  • B. Cooperstein — $S$- and $F$-pairs for groups of Lie type in characteristic two [ MR 604590 ]
  • T. A. Springer — Geometric questions arising in the study of unipotent elements [ MR 604591 ]
  • Robert Steinberg — Kleinian singularities and unipotent elements [ MR 604592 ]
  • Simon Norton — The construction of $J_{4}$ [ MR 604593 ]
  • Robert L. Griess, Jr. — Schur multipliers of the known finite simple groups. II [ MR 604594 ]
  • M. A. Ronan and S. D. Smith — $2$-local geometries for some sporadic groups [ MR 604595 ]
  • Part IV: Representation theory of groups of Lie-type
  • Charles W. Curtis — Problems concerning characters of finite groups of Lie type [ MR 604596 ]
  • R. W. Carter — The relation between characteristic $0$ representations and characteristic $p$ representations of finite groups of Lie type [ MR 604597 ]
  • George Lusztig — Some problems in the representation theory of finite Chevalley groups [ MR 604598 ]
  • Leonard L. Scott — Representations in characteristic $p$ [ MR 604599 ]
  • Bhama Srinivasan — Characters of finite groups of Lie type. II [ MR 604600 ]
  • R. W. Kilmoyer — Principal series representations of finite groups with split $(BN)$-pairs [ MR 604601 ]
  • J. E. Humphreys — Cartan invariants and decomposition numbers of Chevalley groups [ MR 604602 ]
  • Dean Alvis — Duality in the character ring of a finite Chevalley group [ MR 604603 ]
  • Leonard Chastkofsky — Characters of projective indecomposable modules for finite Chevalley groups [ MR 604604 ]
  • N. B. Tinberg — Some indecomposable modules of groups with split $(B,\,N)$-pairs [ MR 604605 ]
  • Part V: Character theory of finite groups
  • J. L. Alperin — Local representation theory [ MR 604606 ]
  • I. M. Isaacs — Characters of solvable groups [ MR 604607 ]
  • Lluís Puig — Local block theory in $p$-solvable groups [ MR 604608 ]
  • Dilip Gajendragadkar — Characters of finite $\pi $-separable groups [ MR 604609 ]
  • Michel Broué — On characters of height zero [ MR 604610 ]
  • Harvey I. Blau — Brauer trees and character degrees [ MR 604611 ]
  • Everett C. Dade — A correspondence of characters [ MR 604612 ]
  • Walter Feit — Irreducible modules of $p$-solvable groups [ MR 604613 ]
  • Pamela A. Ferguson — Finite complex linear groups of degree less than $(2q+1)/3$ [ MR 604614 ]
  • Peter Landrock and Gerhard O. Michler — A criterion for cyclicity [ MR 604615 ]
  • David Gluck — A characterization of generalized permutation characters [ MR 604616 ]
  • Marcel Herzog — Character tables, trivial intersections and number of involutions [ MR 604617 ]
  • T. R. Berger — Representation theory and solvable groups: length type problems [ MR 604618 ]
  • Part VI: Combinatorics
  • Marshall Hall, Jr. — Group problems arising from combinatorics [ MR 604619 ]
  • Ernest Shult — Group-related geometries [ MR 604620 ]
  • Saeed Shad and Ernest Shult — Near $n$-gons [ MR 604621 ]
  • Eiichi Bannai — Orthogonal polynomials, algebraic combinatorics and spherical $t$-designs [ MR 604622 ]
  • T. G. Ostrom — Finite translation planes and group representation [ MR 604623 ]
  • Christoph Hering — Finite collineation groups of projective planes containing nontrivial perspectivities [ MR 604624 ]
  • William M. Kantor — Further problems concerning finite geometries and finite groups [ MR 604625 ]
  • Part VII: Computer applications
  • John J. Cannon — Effective procedures for the recognition of primitive groups [ MR 604626 ]
  • John J. Cannon — Software tools for group theory [ MR 604627 ]
  • Volkmar Felsch — The computation of a counterexample to the class-breadth conjecture for $p$-groups [ MR 604628 ]
  • David C. Hunt — A computer-based atlas of finite simple groups [ MR 604629 ]
  • Jeffrey S. Leon — Finding the order of a permutation group [ MR 604630 ]
  • Part VIII: Connections with number theory and other fields
  • A. P. Ogg — Modular functions [ MR 604631 ]
  • J. G. Thompson — A finiteness theorem for subgroups of $\mathrm {PSL}(2,\,\mathbf {R})$ which are commensurable with $\mathrm {PSL}(2,\,\mathbf {Z})$ [ MR 604632 ]
  • Paul Fong — Characters arising in the Monster-modular connection [ MR 604633 ]
  • Larissa Queen — Modular functions and finite simple groups [ MR 604634 ]
  • J. Lepowsky — Euclidean Lie algebras and the modular function $j$ [ MR 604635 ]
  • M. Fried — Exposition on an arithmetic-group theoretic connection via Riemann’s existence theorem [ MR 604636 ]
  • D. Husemoller — Burnside ring of a Galois group and the relations between zeta functions of intermediate fields [ MR 604637 ]
  • D. Husemoller — Finite automorphism groups of algebraic varieties [ MR 604638 ]
  • Ted Petrie — Transformation groups and representation theory [ MR 604639 ]
  • I. M. Isaacs — Lie algebras with nilpotent centralizers [ MR 604640 ]
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Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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