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Some properties of periodic modules

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Christine Bessenrodt
Christine Bessenrodt
Affiliation:
Fachbereich Mathematik Universität Duisburg, D-4100 Duisburg 1, West Germany
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Abstract

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In this paper periodic modules over group rings and algebras are considered. A new lower bound for the p-part of the rank of a periodic module with abeian vertex is given, and results on periodic modules with odd/even and small periods are obtained. In particular, it is shown that characters afforded by periodic lattices of odd period satisfy strong properties and that irreducible periodic lattices are always of even period.

MSC classification

Secondary: 20C05: Group rings of finite groups and their modules 20C10: Integral representations of finite groups 20C20: Modular representations and characters
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 3 , June 1985 , pp. 408 - 415
Copyright
Copyright © Australian Mathematical Society 1985

References

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