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.
机构:
National University of the State Taxation Service of Ukraine, 08200 Kyiv region, 31, K. Marx Str., IrpenNational University of the State Taxation Service of Ukraine, 08200 Kyiv region, 31, K. Marx Str., Irpen
Semko N.N.
Yarovaya O.A.
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机构:
National University of the State Taxation Service of Ukraine, 08200 Kyiv region, 31, K. Marx Str., IrpenNational University of the State Taxation Service of Ukraine, 08200 Kyiv region, 31, K. Marx Str., Irpen