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Dimension subgroups modulo n

Published online by Cambridge University Press:  24 October 2008

Siegfried Moran
Siegfried Moran
Affiliation:
University of Kent at Canterbury
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Extract

Let G be an arbitrary group and Zn(G) denote the group algebra of G over the integers modulo n. If δi(G) denotes ith power of the augmentation ideal δ(G) of Zn(G), then

is easily seen to be a normal subgroup of G. It is denoted by Di, n(G) and is called ith dimension subgroup of G modulo n. It can be shown that these dimension subgroups are determined by the dimension subgroups modulo a power of a prime p. Hence we shall restrict our attention to these dimension subgroups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 3 , November 1970 , pp. 579 - 582
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

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