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On E-groups in the sense of Peng

Published online by Cambridge University Press:  18 May 2009

Hermann Heineken
Hermann Heineken
Affiliation:
Universität Würzburg, Fed. Rep. Germany
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The groups G of the title are those in which EG(x) = {y | y ∈ G, [y, nx] = 1 for some n} is a subgroup for every x in G. We show that the quotient group G/F(G) is rather restricted for finite E-groups; in particular, soluble finite E-groups are of Fitting length 4 at most. Some criteria for infinite groups are given.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 31 , Issue 2 , May 1989 , pp. 231 - 242
Copyright
Copyright © Glasgow Mathematical Journal Trust 1989

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