کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8895985 1630407 2018 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Groups with finitely many isomorphic classes of non-abelian subgroups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Groups with finitely many isomorphic classes of non-abelian subgroups
چکیده انگلیسی
We study groups in which the non-abelian subgroups fall into finitely many isomorphic classes. We prove that a locally generalized radical group with this property is abelian-by-finite and reduced minimax. The same conclusion holds for locally generalized coradical groups. Here a generalized radical group is a group with an ascending series whose factors are either locally nilpotent or locally finite, and a generalized coradical group is a group with a descending series whose factors are either locally nilpotent or locally finite.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 507, 1 August 2018, Pages 439-466
نویسندگان
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