On Fitting groups whose proper subgroups are solvable
Author(s) -
Ali Osman Asar
Publication year - 2016
Publication title -
international journal of group theory
Language(s) - English
DOI - 10.22108/ijgt.2016.6250
This work is a continuation of [A. O. Asar, On infinitely generated groups whose proper subgroups are solvable, J. Algebra, 399 (2014) 870-886.], where it was shown that a perfect infinitely generated group whose proper subgroups are solvable and in whose homomorphic images normal closures of finitely generated subgroups are residually nilpotent is a Fitting $p$-group for a prime $p$. Thus this work is a study of a Fitting $p$-group whose proper subgroups are solvable. New characterizations and some sufficient conditions for the solvability of such a group are obtained.
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