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The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions
 
Edited by: William Abikoff :  University of Connecticut, Storrs, CT
Joan S. Birman :  Columbia University, New York, NY
Kathryn Kuiken :  Polytechnic University, Brooklyn, NY
The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions
eBook ISBN:  978-0-8218-7760-9
Product Code:  CONM/169.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions
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The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions
Edited by: William Abikoff :  University of Connecticut, Storrs, CT
Joan S. Birman :  Columbia University, New York, NY
Kathryn Kuiken :  Polytechnic University, Brooklyn, NY
eBook ISBN:  978-0-8218-7760-9
Product Code:  CONM/169.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 169; 1994; 499 pp
    MSC: Primary 20; 30; 33

    Wilhelm Magnus was an extraordinarily creative mathematician who made fundamental contributions to diverse areas, including group theory, geometry, and special functions. This book contains the proceedings of a conference held in May 1992 at Polytechnic University to honor the memory of Magnus. The focus of the book is on active areas of current research where Magnus' influence can be seen. The papers range from expository articles to major new research, bringing together seemingly diverse topics and providing entry points to a variety of areas of mathematics.
    Readership

    Research mathematicians.
  • Table of Contents
     
     
    • Articles
    • G. D. Anderson, M. K. Vamanamurthy and M. Vuorinen — Inequalities for plane quasiconformal mappings [ MR 1292895 ]
    • Richard Askey — A look at the Bateman project [ MR 1292896 ]
    • Hyman Bass and Alexander Lubotzky — Linear-central filtrations on groups [ MR 1292897 ]
    • Gilbert Baumslag — Musings on Magnus [ MR 1292898 ]
    • Kevin Berry and Marvin Tretkoff — The monodromy group of a transcendental function [ MR 1292899 ]
    • J. S. Birman, D. D. Long and J. A. Moody — Finite-dimensional representations of Artin’s braid group [ MR 1292900 ]
    • J. W. Cannon, W. J. Floyd and W. R. Parry — Squaring rectangles: the finite Riemann mapping theorem [ MR 1292901 ]
    • Benjamin Fine and Gerhard Rosenberger — The Freiheitssatz and its extensions [ MR 1292902 ]
    • Ismor Fischer — A Rodrigues-type formula for the $q$-Racah polynomials and some related results [ MR 1292903 ]
    • George K. Francis and Louis H. Kauffman — Air on the Dirac strings [ MR 1292904 ]
    • Anthony M. Gaglione and Dennis Spellman — Does Lyndon’s length function imply the universal theory of free groups? [ MR 1292905 ]
    • Daniel M. Gallo — Schottky groups and the boundary of Teichmüller space: genus $2$ [ MR 1292906 ]
    • Frederick P. Gardiner and Dennis Sullivan — Lacunary series as quadratic differentials in conformal dynamics [ MR 1292907 ]
    • Robert H. Gilman — The geometry of cycles in the Cayley diagram of a group [ MR 1292908 ]
    • W. J. Harvey — Braids, Riemann surfaces and moduli [ MR 1292909 ]
    • R. Hirshon — Some remarks on $J$ replacement in direct products [ MR 1292910 ]
    • Harry Hochstadt — Wilhelm Magnus, applied mathematician [ MR 1292911 ]
    • A. Juhász and G. Rosenberger — On the combinatorial curvature of groups of $F$-type and other one-relator free products [ MR 1292912 ]
    • Kathryn Kuiken and John T. Masterson — Branched dihedral structures on Riemann surfaces [ MR 1292913 ]
    • John P. Labute — Groups and Lie algebras: the Magnus theory [ MR 1292914 ]
    • Joseph Lehner — Semiregular continued fractions whose partial denominators are $1$ or $2$ [ MR 1292915 ]
    • Frank Levin — Testing for the center of a one-relator group [ MR 1292916 ]
    • Seymour Lipschutz — Generalizing the Baer-Stallings pregroup [ MR 1292917 ]
    • O. Macedońska and Donald M. Solitar — On binary $\sigma $-invariant words in a group [ MR 1292918 ]
    • Bernard Maskit — Explicit matrices for Fuchsian groups [ MR 1292919 ]
    • Robert Fitzgerald Morse — Levi-properties generated by varieties [ MR 1292920 ]
    • D. S. Passman — Chains of primitive ideals [ MR 1292921 ]
    • Thea Pignataro and Hanna Sandler — Families of closed geodesics on hyperbolic surfaces with common self-intersections [ MR 1292922 ]
    • John G. Ratcliffe — On the isometry groups of hyperbolic manifolds [ MR 1292923 ]
    • Vladimir Tasić — A generalization of Lazard’s theorem on modular dimension subgroups [ MR 1292924 ]
  • 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
Contemporary Mathematics
Volume: 169; 1994; 499 pp
MSC: Primary 20; 30; 33

Wilhelm Magnus was an extraordinarily creative mathematician who made fundamental contributions to diverse areas, including group theory, geometry, and special functions. This book contains the proceedings of a conference held in May 1992 at Polytechnic University to honor the memory of Magnus. The focus of the book is on active areas of current research where Magnus' influence can be seen. The papers range from expository articles to major new research, bringing together seemingly diverse topics and providing entry points to a variety of areas of mathematics.
Readership

Research mathematicians.
  • Articles
  • G. D. Anderson, M. K. Vamanamurthy and M. Vuorinen — Inequalities for plane quasiconformal mappings [ MR 1292895 ]
  • Richard Askey — A look at the Bateman project [ MR 1292896 ]
  • Hyman Bass and Alexander Lubotzky — Linear-central filtrations on groups [ MR 1292897 ]
  • Gilbert Baumslag — Musings on Magnus [ MR 1292898 ]
  • Kevin Berry and Marvin Tretkoff — The monodromy group of a transcendental function [ MR 1292899 ]
  • J. S. Birman, D. D. Long and J. A. Moody — Finite-dimensional representations of Artin’s braid group [ MR 1292900 ]
  • J. W. Cannon, W. J. Floyd and W. R. Parry — Squaring rectangles: the finite Riemann mapping theorem [ MR 1292901 ]
  • Benjamin Fine and Gerhard Rosenberger — The Freiheitssatz and its extensions [ MR 1292902 ]
  • Ismor Fischer — A Rodrigues-type formula for the $q$-Racah polynomials and some related results [ MR 1292903 ]
  • George K. Francis and Louis H. Kauffman — Air on the Dirac strings [ MR 1292904 ]
  • Anthony M. Gaglione and Dennis Spellman — Does Lyndon’s length function imply the universal theory of free groups? [ MR 1292905 ]
  • Daniel M. Gallo — Schottky groups and the boundary of Teichmüller space: genus $2$ [ MR 1292906 ]
  • Frederick P. Gardiner and Dennis Sullivan — Lacunary series as quadratic differentials in conformal dynamics [ MR 1292907 ]
  • Robert H. Gilman — The geometry of cycles in the Cayley diagram of a group [ MR 1292908 ]
  • W. J. Harvey — Braids, Riemann surfaces and moduli [ MR 1292909 ]
  • R. Hirshon — Some remarks on $J$ replacement in direct products [ MR 1292910 ]
  • Harry Hochstadt — Wilhelm Magnus, applied mathematician [ MR 1292911 ]
  • A. Juhász and G. Rosenberger — On the combinatorial curvature of groups of $F$-type and other one-relator free products [ MR 1292912 ]
  • Kathryn Kuiken and John T. Masterson — Branched dihedral structures on Riemann surfaces [ MR 1292913 ]
  • John P. Labute — Groups and Lie algebras: the Magnus theory [ MR 1292914 ]
  • Joseph Lehner — Semiregular continued fractions whose partial denominators are $1$ or $2$ [ MR 1292915 ]
  • Frank Levin — Testing for the center of a one-relator group [ MR 1292916 ]
  • Seymour Lipschutz — Generalizing the Baer-Stallings pregroup [ MR 1292917 ]
  • O. Macedońska and Donald M. Solitar — On binary $\sigma $-invariant words in a group [ MR 1292918 ]
  • Bernard Maskit — Explicit matrices for Fuchsian groups [ MR 1292919 ]
  • Robert Fitzgerald Morse — Levi-properties generated by varieties [ MR 1292920 ]
  • D. S. Passman — Chains of primitive ideals [ MR 1292921 ]
  • Thea Pignataro and Hanna Sandler — Families of closed geodesics on hyperbolic surfaces with common self-intersections [ MR 1292922 ]
  • John G. Ratcliffe — On the isometry groups of hyperbolic manifolds [ MR 1292923 ]
  • Vladimir Tasić — A generalization of Lazard’s theorem on modular dimension subgroups [ MR 1292924 ]
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
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