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On non-strictly simple groups

Published online by Cambridge University Press:  24 October 2008

P. Hall
P. Hall
Affiliation:
King's College, Cambridge
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Extract

Ascending series. Let G be a group and λ an ordinal number. An ascending series of G of type λ is a set of subgroups Gα of G, defined for all α ≤ λ, and such that (i) G0 = 1, Gλ = G; (ii)Gα is a proper normal subgroup of Gα+1 for all α < λ (iii) for all limit ordinals μ ≤ λ.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 3 , July 1963 , pp. 531 - 553
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

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