On a certain class of cyclically presented groups

被引：1

作者：

Edjvet, Martin ^{[1
]}

Spanu, Bruno ^{[1
]}

机构：

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

来源：

JOURNAL OF ALGEBRA | 2011年 / 346卷 / 01期

关键词：

Groups; Cyclic presentations; TRIVIAL GROUP; PRESENTATIONS;

D O I：

10.1016/j.jalgebra.2011.07.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We continue the study of the cyclically presented groups G = G(n)(w) where w = x(0)x(i)(-alpha)x(j)(-alpha)x(i)(alpha)x(j)(beta). We prove that under certain conditions on the parameters n, i, j, alpha, beta the group G is infinite. These results support our conjecture which states for n > 4 exactly when G is trivial and that if G is non-trivial then G is infinite. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：165 / 179

页数：15

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