Groups with all subgroups either subnormal or self-normalizing
نویسندگان
چکیده
منابع مشابه
locally finite p-groups with all subgroups either subnormal or nilpotent-by-chernikov
we pursue further our investigation, begun in [h.~smith, groups with all subgroups subnormal or nilpotent-by-{c}hernikov, emph{rend. sem. mat. univ. padova} 126 (2011), 245--253] and continued in [g.~cutolo and h.~smith, locally finite groups with all subgroups subnormal or nilpotent-by-{c}hernikov. emph{centr. eur. j. math.} (to appear)] of groups $g$ in w...
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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 Pure and Applied Algebra
سال: 2005
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2004.08.005