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On Shephard groups with large triangles

On Shephard groups with large triangles 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Groups - Complexity - Cryptology de Gruyter

On Shephard groups with large triangles

Weiss, Uri
Groups - Complexity - Cryptology , Volume 2 (1) – Jun 1, 2010
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Publisher
de Gruyter
Copyright
© de Gruyter 2010
ISSN
1867-1144
eISSN
1869-6104
DOI
10.1515/GCC.2010.001
Publisher site
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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.

Journal

Groups - Complexity - Cryptology – de Gruyter

Published: Jun 1, 2010

Keywords: Biautomaticity; small-cancellation; van Kampen diagrams; derived diagrams

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