arXiv 0801.08092008-01-05math.RAmath.GR

Symmetric subgroups in modular group algebras

A. B. Konovalov, A. G. Krivokhata

备注：: 5 pages, translated from original journal publication in Russian
发表信息：: Nauk. Visn. Uzhgorod. Univ., Ser. Mat., 9 (2004), 20-24

英文摘要：

Let V(KG) be a normalised unit group of the modular group algebra of a finite p-group G over the field K of p elements. We introduce a notion of symmetric subgroups in V(KG) as subgroups invariant under the action of the classical involution of the group algebra KG. We study properties of symmetric subgroups and construct a counterexample to the conjecture by V.Bovdi, which states that V(KG)=<G,S*>, where S* is a set of symmetric units of V(KG).

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