A commutative version of the group ring

被引：1
|
作者：
Mannan, W. H. [1 ]
机构：
[1] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England
来源：
JOURNAL OF ALGEBRA | 2013年 / 379卷
关键词：
Group rings; Combinatorial group theory; Normal generation of groups; FREE-PRODUCTS; 2-COMPLEXES; COMPLEXES; MODULES;
D O I：
10.1016/j.jalgebra.2012.12.026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings. We demonstrate this with an alternative proof of a result about the normal generation of the free product of two cyclic groups. (C) 2013 Elsevier Inc. All rights reserved.
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页码：113 / 143
页数：31
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