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Elementary abelian operator groups

Published online by Cambridge University Press:  17 April 2009

Fletcher Gross
Fletcher Gross
Affiliation:
University of Utah, Salt Lake City, Utah, USA.
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Abstract

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Suppose G is a finite solvable p′-group admitting the elementary abelian p–group A as an operator group. if n = max{nilpotent length of CG(X)| X ∈ A#} and |A| ≥ pn+2, then the nilpotent length of G is n.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 1 , August 1972 , pp. 91 - 100
Copyright
Copyright © Australian Mathematical Society 1972

References

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