eBook ISBN:  9780821877609 
Product Code:  CONM/169.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877609 
Product Code:  CONM/169.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 169; 1994; 499 ppMSC: 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.
ReadershipResearch 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 — Linearcentral 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 — Finitedimensional 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 Rodriguestype 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 onerelator 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 onerelator group [ MR 1292916 ]

Seymour Lipschutz — Generalizing the BaerStallings 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 — Leviproperties 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 selfintersections [ 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 ]


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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.
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 — Linearcentral 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 — Finitedimensional 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 Rodriguestype 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 onerelator 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 onerelator group [ MR 1292916 ]

Seymour Lipschutz — Generalizing the BaerStallings 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 — Leviproperties 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 selfintersections [ 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 ]