Existence of normal subgroups in finite p-groups

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ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS

Abstract. A subgroup H of a group G is said to be SS-embedded in G if there exists a normal subgroup T of G such that HT is subnormal in G and H T H sG , where H sG is the maximal s- permutable subgroup of G contained in H. We say that a subgroup H is an SS-normal subgroup in G if there exists a normal subgroup T of G such that G = HT and H T H SS , where H SS is an SS-embedded subgroup of ...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2008

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2006.08.037