A counterexample to the isomorphism problem for integral group rings
成果类型：
Article
署名作者：
Hertweck, M
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.2307/3062112
发表日期：
2001
页码：
115-138
关键词：
摘要：
Let X be a finite group, and denote its integral group ring by ZX. A group basis of ZX is a subgroup Y of the group of units of ZX of augmentation 1 such that ZX = ZY and /X/ = /Y/. An example of a finite group X is given such that ZX has a group basis which is not isomorphic to X. A main ingredient is the existence of a subgroup G of X which possesses a non-inner automorphism which becomes inner in the integral group ring ZG.