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Augmentation quotients and dimension subgroups of semidirect products

Published online by Cambridge University Press:  24 October 2008

Ken-Ichi Tahara
Ken-Ichi Tahara
Affiliation:
Aichi University of Education, Kariya, Japan448
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Extract

Sandling(6) determined the dimension subgroups of the semidirect product of a normal abelian subgroup and a subgroup; namely if G = NT is the semidirect product of a normal abelian subgroup N and a subgroup T, then the mth dimension subgroup Dm(G) of G is equal to [N, (m – 1) G] · Dm (T) for all m ≧ 1, where

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 91 , Issue 1 , January 1982 , pp. 39 - 49
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

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