Vol. 51, No. 1, 1974

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ISSN: 0030-8730
π-homogeneity and π-closure of finite groups

Zvi Arad

Vol. 51 (1974), No. 1, 1–9
Abstract

The purpose of this paper is to present a proof, under additional conditions, of the following conjecture: Let π be a set of primes, and let all π-subgroups of G be 2-closed. (If 2π, this condition is satisfied.) If G is π-homogeneous, then G is π-closed.

Mathematical Subject Classification 2000
Primary: 20D20
Milestones
Received: 12 December 1972
Revised: 23 August 1973
Published: 1 March 1974
Authors
Zvi Arad