Finite groups with some primary subgroups SS-quasinormally embedded

Changwen Li ()
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Changwen Li: Xuzhou Normal University

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 5, 291-306

Abstract: Abstract A subgroup of H of a group G is called ss-quasinormally embedded in G if there exists a subgroup T of G such that G = HT and H ∩ T is squasinormally embedded in G. In this paper, we shall obtain some characterizations about p-nilpotency of G by assuming that some subgroups of prime power order of G are ss-quasinormally embedded in G.

Keywords: s-quasinormally embedded; ss-quasinormally embedded; p-nilpotent; p-nilpotent supplement; formation (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0020-x

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