对合单位交换的群代数
Group algebras whose involutory units commute
摘要：
设K是特征为2的域，G是非交换的局部有限2-群.设V（KG）是群代数KG中增广为1的单位群.给出了一个显式的群列表，证明了V（KG）中的所有对合都是可交换的当且仅当G同构于该列表中的一个群。特别地，该性质仅依赖于G，而根本不依赖于K。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
