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italian journal of pure and applied mathematics-n. 35−2015 (61−74) 61 ON WEAKLY SS-QUASINORMAL SUBGROUPS OF FINITE GROUPS
unpublished
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Let H be a subgroup of a finite group G, then we say that H is weakly SS-quasinormal in G, if there exists a normal subgroup T of G such that HT is s-permutable and H ∩ T is SS-quasinormal in G. In this paper, we investigate the influence of some weakly SS-quasinormal subgroups on the structure of G. Some new criterias about the p-nilpotency and supersolubility of a finite group were obtained. We also generalized some known results about formations.
fatcat:jfp76gkzfnc3hjtdjtfqmzdtte