Group algebras whose involutory units commute
环与代数
2007-05-23 v1 群论
摘要
Let K be a field of characteristic 2 and G a nonabelian locally finite 2-group. Let V(KG) be the group of units with augmentation 1 in the group algebra KG. An explicit list of groups is given, and it is proved that all involutions in V(KG) commute with each other if and only if G is isomorphic to one of the groups on this list. In particular, this property depends only on G and not at all on K.
引用
@article{arxiv.math/0009003,
title = {Group algebras whose involutory units commute},
author = {Victor Bovdi and Michael Dokuchaev},
journal= {arXiv preprint arXiv:math/0009003},
year = {2007}
}
备注
15 pages, AMS-TeX