Finite groups generated by subnormal T-subgroups
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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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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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1995
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500031645