Unitary Subgroups of Commutative Group Algebras of the Characteristic Two

Z. Balogh, V. Laver

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

Let FG be the group algebra of a finite 2-group G over a finite field F of characteristic two and let ⊛ be an involution that arises from G. The ⊛-unitary subgroup of FG is denoted by V(FG) and defined as the set of all normalized units u satisfying the property u = u−1. We establish the order of V(FG) for all involutions ⊛ arising from G, where G is a finite cyclic 2-group, and show that all ⊛-unitary subgroups of FG are not isomorphic.

Original languageEnglish
Pages (from-to)871-879
Number of pages9
JournalUkrainian Mathematical Journal
Volume72
Issue number6
DOIs
Publication statusPublished - Nov 2020

ASJC Scopus subject areas

  • Mathematics(all)

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