Nilpotency Indices of Symmetric Elements of Group Algebras

Zsolt Balogh, Tibor Juhász

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Let G be a group and let F be a field of characteristic different from 2. Denote by (FG) + the set of symmetric elements and by U +(FG) the set of symmetric units of the group algebra FG, with respect to the canonical involution on FG sending each group element to its inverse. In this article, we give some lower and upper bounds on the Lie nilpotency index of (FG) + and the nilpotency class of U +(FG); furthermore, we classify the groups for which these bounds are achieved.

Original languageEnglish
Pages (from-to)4283-4294
Number of pages12
JournalCommunications in Algebra
Issue number11
Publication statusPublished - Nov 2012
Externally publishedYes


  • Group ring
  • Involution
  • Lie nilpotency index
  • Nilpotency class

ASJC Scopus subject areas

  • Algebra and Number Theory


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