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

Aner Shalev

doi:10.1007/BF02801463

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

Aner Shalev^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	257-266
Number of pages	10
Journal	Israel Journal of Mathematics
Volume	70
Issue number	3
DOIs	https://doi.org/10.1007/BF02801463
State	Published - Oct 1990

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

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