Group algebras whose involutory units commute

dc.creatorBovdi, Victor
dc.creatorDokuchaev, Michael
dc.date2000-09-01
dc.date.accessioned2026-07-07T04:37:05Z
dc.date.available2026-07-07T04:37:05Z
dc.descriptionLet 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.
dc.description15 pages, AMS-TeX
dc.identifierhttps://arxiv.org/abs/math/0009003
dc.identifierhttp://arxiv.org/abs/math/0009003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59833
dc.subjectRings and Algebras
dc.subjectGroup Theory
dc.titleGroup algebras whose involutory units commute
dc.typetext

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