A class of modules over a locally finite group II

Author:

Hartley B.

Abstract

Our main purpose in this paper is to obtain more precise information about two problems which we investigated in Hartley (1971a). They are as follows: Problem 1. Let G be a countable locally finite group and π be a set of primes. Suppose that G = HK, H◃G, H∩K = 1, where H is a normal π′-subgroup of G, K is a π-group and Ck(H) = 1. If we assume that the Sylow (that is, maximal) π-subgroups of G are conjugate, what can we say about the structure of K?

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Infinite groups;Journal of Soviet Mathematics;1982

2. Periodic locally soluble groups with the minimal condition on centralizers;Journal of Algebra;1979-12

3. The Schur-Zassenhaus theorem in locally finite groups;Journal of the Australian Mathematical Society;1976-12

4. A class of modules over a locally finite group III;Bulletin of the Australian Mathematical Society;1976-02

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