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A class of modules over a locally finite group II

Published online by Cambridge University Press:  09 April 2009

B. Hartley
B. Hartley
Affiliation:
Mathematic Institute University of WarwickCoventry CV4 7AL, England
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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?

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 4 , June 1975 , pp. 437 - 469
Copyright
Copyright © Australian Mathematical Society 1975

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