OnF-Subnormal Subgroups andF-Residuals of Finite Soluble Groups
نویسندگان
چکیده
منابع مشابه
Finite Groups Whose «-maximal Subgroups Are Subnormal
Introduction. Dedekind has determined all groups whose subgroups are all normal (see, e.g., [5, Theorem 12.5.4]). Partially generalizing this, Wielandt showed that a finite group is nilpotent, if and only if all its subgroups are subnormal, and also if and only if all maximal subgroups are normal [5, Corollary 10.3.1, 10.3.4]. Huppert [7, Sätze 23, 24] has shown that if all 2nd-maximal subgroup...
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متن کاملon supersolvability of finite groups with $bbb p$-subnormal subgroups
in this paper we find systems of subgroups of a finite group, which $bbb p$-subnormality guarantees supersolvability of the whole group.
متن کاملLocally soluble-by-finite groups with small deviation for non-subnormal subgroups
A group G has subnormal deviation at most 1 if, for every descending chain H0 > H1 > . . . of non-subnormal subgroups of G, for all but finitely many i there is no infinite descending chain of non-subnormal subgroups of G that contain Hi+1 and are contained in Hi. This property P, say, was investigated in a previous paper by the authors, where soluble groups with P and locally nilpotent groups ...
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a subgroup h of a group g is called inert if, for each $gin g$, the index of $hcap h^g$ in $h$ is finite. we give a classification of soluble-by-finite groups $g$ in which subnormal subgroups are inert in the cases where $g$ has no nontrivial torsion normal subgroups or $g$ is finitely generated.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1996
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0375