The isomorphism problem of unitary subgroups of modular group algebras

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

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
Volume97
Issue number1
DOIs
Publication statusPublished - 2020

Keywords

  • Group ring
  • Isomorphism problem
  • Unitary subgroup

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'The isomorphism problem of unitary subgroups of modular group algebras'. Together they form a unique fingerprint.

Cite this