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Groups, Languages and Geometry
Edited by: Robert H. Gilman, Stevens Institute of Technology, Hoboken, NJ
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Contemporary Mathematics
1999; 136 pp; softcover
Volume: 250
ISBN-10: 0-8218-1053-7
ISBN-13: 978-0-8218-1053-8
List Price: US$41
Member Price: US$32.80
Order Code: CONM/250
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This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Geometric Group Theory and Computer Science held at Mount Holyoke College (South Hadley, MA). The conference was devoted to computational aspects of geometric group theory, a relatively young area of research which has grown out of an influx of ideas from topology and computer science into combinatorial group theory.

The book reflects recent progress in this interesting new field. Included are articles about insights from computer experiments, applications of formal language theory, decision problems, and complexity problems. There is also a survey of open questions in combinatorial group theory. The volume will interest group theorists, topologists, and experts in automata and language theory.

Readership

Graduate students and research mathematicians interested in geometric group theory; theoretical computer scientists.

Table of Contents

  • G. Baumslag, A. G. Myasnikov, and V. Shpilrain -- Open problems in combinatorial group theory
  • D. Beauquier, D. E. Muller, and P. E. Schupp -- The bar problem-A simple tiling problem which is \(NP\)-complete on the Euclidean tessellation by squares but which is polynomial time on the hyperbolic tessellations by \(4g\)-gons, \(g \geq 2\)
  • D. L. Boutin -- When are centralizers of finite subgroups of \(Out(F_n)\) finite?
  • Z. Grunschlag -- Computing angles in hyperbolic groups
  • O. Ly -- On effective decidability of the homeomorphism problem for non-compact surfaces
  • C. F. Miller III and P. E. Schupp -- Some presentations of the trivial group
  • S. Rees -- A language theoretic analysis of combings
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