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Integral and p-modular semisimple deformations for p-solvable groups of finite representation type

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Mary Schaps
Mary Schaps
Affiliation:
Bar-Ilan University52100 Ramat-Gan, Israel
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Abstract

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We prove that the split integral group ring of a finite p-solvable group of finite representation type has a structure analogous to that of the p-modular semisimple deformation. The split integral deformation can be put in the same form as the p-modular deformation by an appropriate substitution for the parameter T. As an application we derive a simple formula for the matrix units in the semisimple group algebra over a nonmodular prime.

MSC classification

Secondary: 20C05: Group rings of finite groups and their modules
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 50 , Issue 2 , April 1991 , pp. 213 - 232
Copyright
Copyright © Australian Mathematical Society 1991

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