A characterization of soluble groups in which normality is a transitive relation
عنوان مقاله: A characterization of soluble groups in which normality is a transitive relation
شناسه ملی مقاله: JR_THEGR-6-1_004
منتشر شده در در سال 1396
شناسه ملی مقاله: JR_THEGR-6-1_004
منتشر شده در در سال 1396
مشخصات نویسندگان مقاله:
Giovanni Vincenzi - University of Salerno
خلاصه مقاله:
Giovanni Vincenzi - University of Salerno
A subgroup X of a group G is said to be an H-subgroup if NG(X) ∩ Xg ≤ X for each element g belonging to G. In [M. Bianchi and e.a., On finite soluble groups in which normality is a transitive relation, J. Group Theory, ۳ (۲۰۰۰) ۱۴۷--۱۵۶.] the authors showed that finite groups in which every subgroup has the H-property are exactly soluble groups in which normality is a transitive relation. Here we extend this characterization to groups without simple sections.
کلمات کلیدی: H-subgroups, T-groups, pronormal subgroups, weakly normal subgroups, pronorm and H-norm of a group
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1199659/