ON FINITE GROUPS IN WHICH SS-SEMI-PERMUTABILITY IS A TRANSITIVE RELATION

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MIRDAMADI S.E.; REZAEEZADEH G.R.

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Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2016 | Volume:4 | Issue:1 Page(s): 29-36

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Information Journal Paper

Title

ON FINITE GROUPS IN WHICH SS-SEMI-PERMUTABILITY IS A TRANSITIVE RELATION

Author(s)

MIRDAMADI S.E. | REZAEEZADEH G.R. | Issue Writer Certificate

Keywords

semipermutable subgroups

PST

groups

Abstract

Let H be a subgroup of a nite 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 the nite groups in which SS-semi-permutability is a transitive relation are described. It is shown that a nite 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).

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APA: Copy

MIRDAMADI, S.E., & REZAEEZADEH, G.R.. (2016). ON FINITE GROUPS IN WHICH SS-SEMI-PERMUTABILITY IS A TRANSITIVE RELATION. JOURNAL OF ALGEBRAIC SYSTEMS, 4(1 ), 29-36. SID. https://sid.ir/paper/268339/en

Vancouver: Copy

MIRDAMADI S.E., REZAEEZADEH G.R.. ON FINITE GROUPS IN WHICH SS-SEMI-PERMUTABILITY IS A TRANSITIVE RELATION. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2016;4(1 ):29-36. Available from: https://sid.ir/paper/268339/en

IEEE: Copy

S.E. MIRDAMADI, and G.R. REZAEEZADEH, “ON FINITE GROUPS IN WHICH SS-SEMI-PERMUTABILITY IS A TRANSITIVE RELATION,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 4, no. 1 , pp. 29–36, 2016, [Online]. Available: https://sid.ir/paper/268339/en

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