On unitary subgroups of group algebras

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3 Citations (Scopus)

Abstract

Let FG be the group algebra of a nite p-group G over a niteeld F of characteristic p and let * be the classical involution of FG. The *-unitary subgroup of FG, denoted by V*(FG), is de ned to be the set of all normalized units u satisfying the property u* = u-1. In this paper we give a recursive method how to compute the order of the *-unitary subgroup for certain noncommutative group algebras. A variant of the modular isomorphism question of group algebras is also considered.

Original languageEnglish
Pages (from-to)187-198
Number of pages12
JournalInternational Electronic Journal of Algebra
Volume29
DOIs
Publication statusPublished - 2021

Keywords

  • Group of units
  • Group ring
  • Unitary subgroup

ASJC Scopus subject areas

  • Algebra and Number Theory

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