infinite groups with many generalized normal subgroups
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abstract
a subgroup $x$ of a group $g$ is almost normal if the index $|g:n_g(x)|$ is finite, while $x$ is nearly normal if it has finite index in the normal closure $x^g$. this paper investigates the structure of groups in which every (infinite) subgroup is either almost normal or nearly normal.
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Journal title:
international journal of group theoryPublisher: university of isfahan
ISSN 2251-7650
volume 1
issue 3 2012
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