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Π′-closure of finite Π-solvable groups
Published online by Cambridge University Press: 09 April 2009
Abstract
The purpose of this paper is to present a proof of the following theorem: Suppose Π is a set of dd primes, G is a finite Π-solvable group, and A is a nilpotent Π-subgroup of maximal order of G. Then G has a normal Π-complement, if and only if NG(ZJ(A)) has a normal Π-complement. (J(A) is the Thompson subgroup of A.)
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 21 , Issue 1 , February 1976 , pp. 118 - 119
- Copyright
- Copyright © Australian Mathematical Society 1976
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