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A commutator identity for basic p-groups

Published online by Cambridge University Press:  09 April 2009

Paul M. Weichsel
Paul M. Weichsel
Affiliation:
University of Illinois Urbana, Illinois
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Abstract

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The consequences of the law (Ga(1), hellip, Ga(n)) = 1 in a basic p-group are examined. The principal tools are a combinatorial analysis of the lattice of n-tuples of positive integers and a theorem of the author about higher-commutator subgroups.

Subject classification (Amer. Math. Soc. (MOS) 1970): 20 D 15.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 1 , August 1978 , pp. 70 - 75
Copyright
Copyright © Australian Mathematical Society 1978

References

Weichsel, Paul M. (1973), “Basic p-groups: higher commutator structure”, J. Austral. Math. Soc. 16, 200–206.Google Scholar