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

G. R. REZAEEZADEH; Z. AGHAJARI

Volume 5, Issue 2 , January 2018, , Pages 139-148

https://doi.org/10.22044/jas.2017.5274.1270

Abstract
  Abstract. A subgroup H of a group G is said to be SS-embeddedin G if there exists a normal subgroup T of G such that HT issubnormal 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 subgroupH is an SS-normal subgroup in G if there exists ...  Read More