On Shephard Groups with Large Triangles

Details On Shephard Groups with Large Triangles On Shephard Groups with Large Triangles

Publishing date

2008-12-31

URL

arxiv.org/abs/0901.0094v2

Journals

Groups - Complexity - Cryptology. Volume 2, Issue 1, Pages 1-34, /June/2010

Science

Mathematics

Field

Group Theory

Additional info

30 pages, 11 PDF figures

Type

Scientific paper

Digital Object Identifier

10.1515/GCC.2010.001

Abstract

Shephard groups are common extensions of Artin and Coxeter groups. They
appear, for example, in algebraic study of manifolds. An infinite family of
Shephard groups which are not Artin or Coxeter groups is considered. Using
techniques form small cancellation theory we show that the groups in this
family are bi-automatic.

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