The Mathematical Legacy of Wilhelm Magnus

by Conference on the Legacy of Wilhelm Magnus; Birman, Joan S.; Kuiken, Kathryn; Abikoff, William

• ISBN13: 9780821851562
• ISBN10: 082185156X
• Format: Paperback
• Copyright: 1994-10-01
• Publisher: Amer Mathematical Society

Summary

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.

Table of Contents

Inequalities for plane quasiconformal mappings

A look at the Bateman project

Linear-central filtrations on groups

Musings on Magnus

The monodromy group of a transcendental function

Finite-dimensional representations of Artin's braid group

Squaring rectangles: The finite Riemann mapping theorem

The Freiheitssatz and its extensions

A Rodrigues-type formula for the $q$-Racah polynomials and some related results

Air on the Dirac strings

Does Lyndon's length function imply the universal theory of free groups?

Schottky groups and the boundary of Teichmuller space: Genus $2$

Lacunary series as quadratic differentials in conformal dynamics

The geometry of cycles in the Cayley diagram of a group

Braids, Riemann surfaces and moduli

Some remarks on $J$ replacement in direct products

Magnus, applied mathematician

On the combinatorial curvature of groups of $F$-type and other one-relator free products

Branched dihedral structures on Riemann surfaces

Groups and Lie algebras: The Magnus theory

Semiregular continued fractions whose partial denominators are $1$ or $2$

Testing for the center of a one-relator group

Generalizing the Baer-Stallings pregroup

On binary $\sigma$-invariant words in a group

Explicit matrices for Fuchsian groups

Levi-properties generated by varieties

Chains of primitive ideals

Families of closed geodesics on hyperbolic surfaces with common self-intersections

On the isometry groups of hyperbolic manifolds

A generalization of Lazard's theorem on modular dimension subgroups

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