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.
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页码：165 / 179
页数：15
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