Non-commutative determinants and automorphisms of groups

被引：3
|
作者：
Shpilrain, V
机构：
[1] Department of Mathematics, University of California, Santa Barbara
来源：
COMMUNICATIONS IN ALGEBRA | 1997年 / 25卷 / 02期
关键词：
D O I：
10.1080/00927879708825874
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that for any invertible matrix over an arbitrary group algebra, it is possible to define series of invariants which have most of the properties of the usual commutative determinants. We also give one of the applications of these invariants to detecting Nielsen inequivalent generating systems of various groups.
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页码：559 / 574
页数：16
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