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 -