TY - JOUR

T1 - ∏’-Closure of finite ∏-solvable groups

AU - Arad, Zvi

PY - 1976/2

Y1 - 1976/2

N2 - The purpose of this paper is to present a proof of the following theorem: Suppose ∏ is a set of odd primes, G is a finite ∏-solvable group, and A is a nilpotent ∏-subgroup of maximal order of G. Then G has a normal ∏-complement, if and only if NG(ZJ(A)) has a normal ∏-complement. (J(A) is the Thompson subgroup of A.).

AB - The purpose of this paper is to present a proof of the following theorem: Suppose ∏ is a set of odd primes, G is a finite ∏-solvable group, and A is a nilpotent ∏-subgroup of maximal order of G. Then G has a normal ∏-complement, if and only if NG(ZJ(A)) has a normal ∏-complement. (J(A) is the Thompson subgroup of A.).

UR - http://www.scopus.com/inward/record.url?scp=84934999054&partnerID=8YFLogxK

U2 - 10.1017/S1446788700016992

DO - 10.1017/S1446788700016992

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AN - SCOPUS:84934999054

SN - 1446-7887

VL - 21

SP - 118

EP - 119

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 1

ER -