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Modular augmentation ideals

Published online by Cambridge University Press:  24 October 2008

Robert Sandling
Robert Sandling
Affiliation:
The University, Manchester
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Extract

An ideal of an integral group ring is divisible by a given integer if all of its elements share this common factor; the ideals most often encountered are rarely divisible in this sense. Only in the case of finite p-groups are powers of the augmentation ideal of the integral group ring ever divisible. For every e, there is some n for which the nth power of the augmentation ideal is divisible by pe. The smallest such integer n arises in many contexts; this paper describes its properties and interpretations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 1 , January 1972 , pp. 25 - 32
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

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