Mathematics – Rings and Algebras
Scientific paper
2008-01-05
Nauk. Visn. Uzhgorod. Univ., Ser. Mat., 9 (2004), 20-24
Mathematics
Rings and Algebras
5 pages, translated from original journal publication in Russian
Scientific paper
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)=
Konovalov Alexander B.
Krivokhata A. G.
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