Meta-abelian unit groups of group algebras are usually abelian

Aner Shalev*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Given a field F of positive characteristic p>2 and a finite group G we give necessary and sufficient conditions for the unit group of the group algebra FG to be meta-abelian. In particular, if p≥5, this happens only when G is abelian.

Original languageAmerican English
Pages (from-to)295-302
Number of pages8
JournalJournal of Pure and Applied Algebra
Issue number3
StatePublished - 26 Jul 1991
Externally publishedYes

Bibliographical note

Funding Information:
I am grateful to Avinoam Mann for his helpful comments.I would also like to thank the Rothschild Foundation for financial support, and the Mathematical Institute at Oxford for its hospitality.


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