Biautomatic structures in systolic Artin groups

被引：1

作者：

Holt, Derek F. ^{[1
,2
]}

Rees, Sarah ^{[1
,2
]}

机构：

[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

[2] Univ Newcastle, Sch Math Stat & Phys, Newcastle NE1 7RU, England

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2021年 / 31卷 / 03期

关键词：

Artin groups; word problem; automatic groups; biautomatic groups; systolic complexes; systolic groups; SMALL CANCELLATION THEORY; GEOMETRY;

D O I：

10.1142/S0218196721500193

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine the construction of Huang and Osajda that was used in their proof of the biautomaticity of Artin groups of almost large type. We describe a slightly simpler variant of that biautomatic structure, with explicit descriptions of a few small examples, and we examine some of the properties of the structure. We explain how the construction can be programmed within the GAP system.

引用

页码：365 / 391

页数：27

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