on fitting groups whose proper subgroups are solvable
نویسندگان
چکیده
this work is a continuation of [a. o. asar, on infinitely generated groups whose proper subgroups are solvable, {em j. algebra}, {bf 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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عنوان ژورنال:
international journal of group theoryناشر: university of isfahan
ISSN 2251-7650
دوره 5
شماره 2 2016
کلمات کلیدی
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