descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1976 English Publisher:Cambridge University Press (CUP)Journal:Journal of the Australian Mathematical Society, volume 21, pages 118-119 (issn: 1446-7887, eissn: 1446-8107,

Authors: Zvi Arad;

doi: 10.1017/s1446788700016992

Π′-closure of finite Π-solvable groups

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Abstract

AbstractThe 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.)

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Bar-Ilan University
Israel

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