有大三角形的Shephard群

Groups Complex. Cryptol. Pub Date : 2008-12-31 DOI:10.1515/GCC.2010.001

Uri Weiss

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引用次数: 4

摘要

Shephard群是Artin群和Coxeter群的共同扩展。例如，它们出现在流形的代数研究中。本文考虑了非Artin群或Coxeter群的无限Shephard群族。利用小抵消理论的技术，我们证明了这个家族中的群体是双自动的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Shephard groups with large triangles

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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Groups Complex. Cryptol.

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