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

Aner Shalev*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

The nilpotency class of the unit group U of a modular p-group algebra FG is determined when p is odd and G has a cyclic commutator subgroup. This is done via an extension of a theorem of Coleman and Passman, dealing with wreath products obtained as sections of U.

Original languageEnglish
Pages (from-to)257-266
Number of pages10
JournalIsrael Journal of Mathematics
Volume70
Issue number3
DOIs
StatePublished - Oct 1990

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