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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
Abstract
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.
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- Copyright © Canadian Mathematical Society 1995
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