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

Avinoam Mann; Aner Shalev

doi:10.1007/BF02801464

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

Avinoam Mann^*
, Aner Shalev

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 p², then the nilpotency class of U(G) is at least 2 p-1.

Original language	English
Pages (from-to)	267-277
Number of pages	11
Journal	Israel Journal of Mathematics
Volume	70
Issue number	3
DOIs	https://doi.org/10.1007/BF02801464
State	Published - Oct 1990

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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.",

author = "Avinoam Mann and Aner Shalev",

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AB - 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.

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

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