On Fitting groups whose proper subgroups are solvable
عنوان مقاله: On Fitting groups whose proper subgroups are solvable
شناسه ملی مقاله: JR_THEGR-5-2_002
منتشر شده در در سال 1395
شناسه ملی مقاله: JR_THEGR-5-2_002
منتشر شده در در سال 1395
مشخصات نویسندگان مقاله:
Ali Asar - No affiliation
خلاصه مقاله:
Ali Asar - No affiliation
This work is a continuation of [A. O. Asar, On infinitely generated groups whose proper subgroups are solvable, J. Algebra, ۳۹۹ (۲۰۱۴) ۸۷۰-۸۸۶.], 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.
کلمات کلیدی: Fitting group, normalizer, Engel condition
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1199637/