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

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Abstract

The nilpotency class of the unit groupU of a modularp-group algebraFG is determined whenp is odd andG 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 ofU.

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Author notes

  1. Aner Shalev

    Present address: Mathematical Institute, University of Oxford, 24–29 St Giles, OX1 3LB, Oxford, U.K.

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  1. Institute of Mathematics and Computer Sciences, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    Aner Shalev

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  1. Aner Shalev
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Shalev, A. The nilpotency class of the unit group of a modular group algebra I. Israel J. Math. 70, 257–266 (1990). https://doi.org/10.1007/BF02801463

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  • DOI: https://doi.org/10.1007/BF02801463

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