Let H be a subgroup of a finite group G. We say that H is SS-semipermutable in G if H has a supplement K in G such that H permutes with every Sylow subgroup X of K with (jXj; jHj) = 1. In this paper, the Structure of SS-semipermutable subgroups, and finite groups in which SS-semipermutability is a transitive relation are described. It is shown that a finite solvable group G is a PST-group if and only if whenever H K are two p-subgroups of G, H is SS-semipermutable in NG(K).
Mirdamadi, S., & Rezaeezadeh, G. (2016). ON FINITE GROUPS IN WHICH SS-SEMIPERMUTABILITY IS A TRANSITIVE RELATION. Journal of Algebraic Systems, 4(1), 29-36. doi: 10.22044/jas.2016.726
MLA
S.E. Mirdamadi; Gh.R Rezaeezadeh. "ON FINITE GROUPS IN WHICH SS-SEMIPERMUTABILITY IS A TRANSITIVE RELATION". Journal of Algebraic Systems, 4, 1, 2016, 29-36. doi: 10.22044/jas.2016.726
HARVARD
Mirdamadi, S., Rezaeezadeh, G. (2016). 'ON FINITE GROUPS IN WHICH SS-SEMIPERMUTABILITY IS A TRANSITIVE RELATION', Journal of Algebraic Systems, 4(1), pp. 29-36. doi: 10.22044/jas.2016.726
VANCOUVER
Mirdamadi, S., Rezaeezadeh, G. ON FINITE GROUPS IN WHICH SS-SEMIPERMUTABILITY IS A TRANSITIVE RELATION. Journal of Algebraic Systems, 2016; 4(1): 29-36. doi: 10.22044/jas.2016.726
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