The isomorphism problem of unitary subgroups of modular group algebras

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10 Citations (Scopus)


Let V∗(FG) be the normalized unitary subgroup of the modular group algebra FG of a finite p-group G over a finite field F with the classical involution ∗. We investigate the isomorphism problem for the group V∗(FG), i.e., we pose the question when the group algebra FG is uniquely determined by V∗(FG). We give affirmative answers for classes of finite abelian p-groups, 2-groups of maximal class and non-abelian 2-groups of order at most 16.

Original languageEnglish
Pages (from-to)27-39
Number of pages13
JournalPublicationes Mathematicae Debrecen
Issue number1
Publication statusPublished - 2020


  • Group ring
  • Isomorphism problem
  • Unitary subgroup

ASJC Scopus subject areas

  • General Mathematics


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