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The Characterisation of Modular Group Algebras Having Unit Groups of Nilpotency Class 3

Published online by Cambridge University Press:  20 November 2018

M. Anwar Rao  and
Robert Sandling
M. Anwar Rao
Affiliation:
Mathematics Department, The University, Manchester M13 9PL, England, e-mail:rsandling@manchester.ac.uk
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Abstract

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The unit group of the modular group algebra of a finite p-group in characteristic p is nilpotent. The p-groups for which it is of nilpotency class 3 were determined in work of Coleman, Passman, Shalev and Mann when p ≥ 3. We resolve the p = 2 case here which completes the classification.

Keywords

16U6016S3420C0520C2020D15modular group algebrap-groupnilpotency class 3unit group
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 1 , 01 March 1995 , pp. 112 - 116
Copyright
Copyright © Canadian Mathematical Society 1995

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