TY - JOUR
T1 - A characteristic subgroup of a group of odd order
AU - Arad, Z.
AU - Glauberman, G.
PY - 1975/2
Y1 - 1975/2
N2 - Let G be a finite solvable group of odd order. Suppose p is a prime, S is a Sylow p-subgroup of G, and Op (G) = 1. Let J(S) be the Thompson subgroup of S. Then, by a result of the second author (Lemma 6), Z(J(S)) <3 G.The object of this paper is to generalize the above result by replacing the prime p by a set of primes π.
AB - Let G be a finite solvable group of odd order. Suppose p is a prime, S is a Sylow p-subgroup of G, and Op (G) = 1. Let J(S) be the Thompson subgroup of S. Then, by a result of the second author (Lemma 6), Z(J(S)) <3 G.The object of this paper is to generalize the above result by replacing the prime p by a set of primes π.
UR - http://www.scopus.com/inward/record.url?scp=84972583984&partnerID=8YFLogxK
U2 - 10.2140/pjm.1975.56.305
DO - 10.2140/pjm.1975.56.305
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AN - SCOPUS:84972583984
SN - 0030-8730
VL - 56
SP - 305
EP - 319
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
IS - 2
ER -