Modular group algebras whose group of unitary units is locally nilpotent

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Abstract

We characterize those modular group algebras FG whose group of unitary units is locally nilpotent or nilpotent under the classical involution of FG. The main results of [19, 20] are trivial consequences of this note.

Original languageEnglish
Pages (from-to)571-576
Number of pages6
JournalActa Scientiarum Mathematicarum
Volume88
Issue number3-4
DOIs
Publication statusPublished - Dec 2022

Keywords

  • 16S34
  • 20C05
  • 20F19
  • 20F45
  • Engel group
  • group algebra
  • locally nilpotent group
  • unitary group

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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