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On Shephard groups with large triangles
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Uri Weiss
Veröffentlicht/Copyright:
23. Juni 2010
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.
Received: 2009-05-18
Published Online: 2010-06-23
Published in Print: 2010-June
© de Gruyter 2010
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Artikel in diesem Heft
- On Shephard groups with large triangles
- An update on Hurwitz groups
- Presentations of matrix rings
- The diameter of a random Cayley graph of ℤq
- Challenge response password security using combinatorial group theory
- The discrete logarithm problem in the group of non-singular circulant matrices
- Algebraic geometry over natural numbers. The classification of coordinate monoids
Schlagwörter für diesen Artikel
Biautomaticity;
small-cancellation;
van Kampen diagrams;
derived diagrams
Artikel in diesem Heft
- On Shephard groups with large triangles
- An update on Hurwitz groups
- Presentations of matrix rings
- The diameter of a random Cayley graph of ℤq
- Challenge response password security using combinatorial group theory
- The discrete logarithm problem in the group of non-singular circulant matrices
- Algebraic geometry over natural numbers. The classification of coordinate monoids
