The nilpotency class of the unit group of a modular group algebra II

Avinoam Mann*, Aner Shalev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

Let G be a finite p-group, and let U(G) be the group of units of the group algebra FG, where F is a field of characteristic p. It is shown that, if the commutative subgroup of G has order at least p 2, then the nilpotency class of U(G) is at least 2 p-1.

Original languageAmerican English
Pages (from-to)267-277
Number of pages11
JournalIsrael Journal of Mathematics
Volume70
Issue number3
DOIs
StatePublished - Oct 1990

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