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a characterization of soluble groups in which normality is a transitive relation
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نویسنده
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vincenzi giovanni
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منبع
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international journal of group theory - 2017 - دوره : 6 - شماره : 1 - صفحه:21 -27
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چکیده
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A subgroup $x$ of a group $g$ is said to be an h-subgroup if ng(x) ∩ x^g ≤ 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, 3 (2000) 147-156.] 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.
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کلیدواژه
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h-subgroups ,t-groups ,pronormal subgroups ,weakly normal subgroups ,pronorm and h-norm of a group.
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آدرس
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university of salerno, department of mathematics, italy
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پست الکترونیکی
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vincenzi@unisa.it
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Authors
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