The Mathematical Legacy of Wilhelm Magnus

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.

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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The Mathematical Legacy of Wilhelm Magnus

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