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on some generalization of the malnormal subgroups
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نویسنده
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kurdachenko leonid a. ,semko nikolai n. ,subbotin igor ya.
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منبع
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international journal of group theory - 2020 - دوره : 9 - شماره : 1 - صفحه:7 -24
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چکیده
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A subgroup h of a group g is called malonormal in g if h ∩ hx = ⟨1⟩ for every element x ∈/ ng(h). these subgroups are generalizations of malnormal subgroups. every malnormal subgroup is malonormal, and every selfnormalizing malonormal subgroup is malnormal. furthermore, every normal subgroup is malonormal. in this paper we obtain a description of finite and certain infinite groups, whose subgroups are malonormal.
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کلیدواژه
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malnormal subgroups ,malonormal subgroups ,frobenius group ,locally graded groups ,generalized radical groups
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آدرس
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dnipro national university, department of algebra, ukraine, university of state fiscal service of ukraine, department of mathematics, ukraine, national university, department of mathematics, usa
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پست الکترونیکی
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isubboti@nu.edu
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Authors
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