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On E-groups in the sense of Peng
Published online by Cambridge University Press: 18 May 2009
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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.
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- Copyright © Glasgow Mathematical Journal Trust 1989
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