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The mathematical legacy of Wilhelm Magnus : [electronic resource] groups, geometry, and special functions : Conference on the Legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic University, Brooklyn, New York / William Abikoff, Joan S. Birman, Kathryn Kuiken, editors.

By: Conference on the Legacy of Wilhelm Magnus (1992 : Brooklyn, New York, N.Y.)Contributor(s): Abikoff, William | Birman, Joan S, 1927- | Kuiken, KathrynMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 169.Publication details: Providence, R.I. : American Mathematical Society, c1994Description: 1 online resource (x, 499 p.)ISBN: 9780821877609 (online)Subject(s): Group theory -- Congresses | Functions of complex variables -- Congresses | Functions, Special -- CongressesAdditional physical formats: mathematical legacy of Wilhelm Magnus :DDC classification: 512/.2 LOC classification: QA174 | .C66 1992Online resources: Contents | Contents

Contents:

Inequalities for plane quasiconformal mappings / G. D. Anderson, M. K. Vamanamurthy and M. Vuorinen -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01649 A look at the Bateman project / Richard Askey -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01650 Linear-central filtrations on groups / Hyman Bass and Alexander Lubotzky -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01651 Musings on Magnus / Gilbert Baumslag -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01652 The monodromy group of a transcendental function / Kevin Berry and Marvin Tretkoff -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01653 Finite-dimensional representations of Artin's braid group / J. S. Birman, D. D. Long and J. A. Moody -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01655 Squaring rectangles: the finite Riemann mapping theorem / J. W. Cannon, W. J. Floyd and W. R. Parry -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01656 The Freiheitssatz and its extensions / Benjamin Fine and Gerhard Rosenberger -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01657 A Rodrigues-type formula for the $q$-Racah polynomials and some related results / Ismor Fischer -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01658 Air on the Dirac strings / George K. Francis and Louis H. Kauffman -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01659 Does Lyndon's length function imply the universal theory of free groups? / Anthony M. Gaglione and Dennis Spellman -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01660 Schottky groups and the boundary of Teichm�uller space: genus $2$ / Daniel M. Gallo -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01661 Lacunary series as quadratic differentials in conformal dynamics / Frederick P. Gardiner and Dennis Sullivan -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01662 The geometry of cycles in the Cayley diagram of a group / Robert H. Gilman -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01663 Braids, Riemann surfaces and moduli / W. J. Harvey -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01664 Some remarks on $J$ replacement in direct products / R. Hirshon -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01665 Wilhelm Magnus, applied mathematician / Harry Hochstadt -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01666 On the combinatorial curvature of groups of $F$-type and other one-relator free products / A. Juh�asz and G. Rosenberger -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01667 Branched dihedral structures on Riemann surfaces / Kathryn Kuiken and John T. Masterson -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01668 Groups and Lie algebras: the Magnus theory / John P. Labute -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01669 Semiregular continued fractions whose partial denominators are $1$ or $2$ / Joseph Lehner -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01670 Testing for the center of a one-relator group / Frank Levin -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01671 Generalizing the Baer-Stallings pregroup / Seymour Lipschutz -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01672 On binary $\sigma $-invariant words in a group / O. Macedo�nska and Donald M. Solitar -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01673 Explicit matrices for Fuchsian groups / Bernard Maskit -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01674 Levi-properties generated by varieties / Robert Fitzgerald Morse -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01675 Chains of primitive ideals / D. S. Passman -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01676 Families of closed geodesics on hyperbolic surfaces with common self-intersections / Thea Pignataro and Hanna Sandler -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01677 On the isometry groups of hyperbolic manifolds / John G. Ratcliffe -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01678 A generalization of Lazard's theorem on modular dimension subgroups / Vladimir Tasi�c -- http://www.ams.org/conm/169/ http://dx.doi.org/10.1090/conm/169/01679

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Includes bibliographical references.

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