Title of article :
On Fitting groups whose proper subgroups are solvable
Author/Authors :
Asar، Ali Osman نويسنده Ankara,Turkey ,
Issue Information :
فصلنامه با شماره پیاپی سال 2016
Abstract :
This work is a continuation of [A. O. Asar, On infinitely generated groups whose proper subgroups are solvable, J. Algebra, 399 (2014) 870886.], 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.
Keywords :
Fitting groups , proper subgroup , Solvable Groups.
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory