Group algebras whose involutory units commute

Victor Bovdi, Michael Dokuchaev

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Let K be a field of characteristic 2 and G a non-abelian locally finite 2-group. Let V(KG) be the group of units with augmentation 1 in the group algebra KG. An explicit list of groups is given, and it is proved that all involutions in V(KG) commute with each other if and only if G is isomorphic to one of the groups on this list. In particular, this property depends only on G and does not depend on K.

Original languageEnglish
Pages (from-to)49-64
Number of pages16
JournalAlgebra Colloquium
Issue number1
Publication statusPublished - Mar 2002
Externally publishedYes


  • Group algebra
  • Group of units

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics


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