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Ideals in group rings of soluble groups of finite rank

Published online by Cambridge University Press:  24 October 2008

Christopher J. B. Brookes
Christopher J. B. Brookes
Affiliation:
Corpus Christi College, Cambridge
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Extract

The original motivation for this paper was the question of primitivity for group rings of soluble groups of finite rank. At the end this is touched upon as an application of a theorem about prime ideals in such rings. If a group Γ acts on a set S we say an element is (Γ)-orbital if its orbit is finite and write ΔΓ(S) for the subset of such elements. The FC-radical of a group G, denoted by Δ(G), is just ΔG(G) where the action of G on itself is by conjugation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 1 , January 1985 , pp. 27 - 49
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

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