On perfect subnormal subgroups of finite groups

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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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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1975

ISSN: 0021-8693

DOI: 10.1016/0021-8693(75)90100-3