Group algebras whose unit group is locally nilpotent

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2 Citations (Scopus)

Abstract

We present a complete list of groups and fields for which: (i) the group of normalized units of the group algebra is locally nilpotent; (ii) the set of nontrivial nilpotent elements of is finite and nonempty, and is an Engel group.

Original languageEnglish
Pages (from-to)17-23
Number of pages7
JournalJournal of the Australian Mathematical Society
Volume109
Issue number1
DOIs
Publication statusPublished - Aug 1 2020

Keywords

  • Engel group
  • Group algebra
  • Locally nilpotent group
  • Unit group

ASJC Scopus subject areas

  • Mathematics(all)

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