Group algebras whose group of units is powerful

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


A p-group is called powerful if every commutator is a product of pth powers when p is odd and a product of fourth powers when p=2. In the group algebra of a group G of p-power order over a finite field of characteristic p, the group of normalized units is always a p-group. We prove that it is never powerful except, of course, when G is abelian.

Original languageEnglish
Pages (from-to)325-328
Number of pages4
JournalJournal of the Australian Mathematical Society
Issue number3
Publication statusPublished - Dec 2009
Externally publishedYes


  • Group of units
  • Modular group algebra
  • Powerful group
  • Pro-p-group

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Group algebras whose group of units is powerful'. Together they form a unique fingerprint.

Cite this