1. A NEW CHARACTERIZATION OF SIMPLE GROUP G 2 (q) WHERE q ⩽ 11

M. Bibak; Gh.R. Rezaeezadeh; E. Esmaeilzadeh

Volume 8, Issue 1 , Summer and Autumn 2020, , Pages 103-111

Abstract
  Let G be a finite group , in this paper using the order and largest element order of G we show that every finite group with the same order and largest element order as G 2 (q), where q  11 is necessarily isomorphic to the group G 2 (q)  Read More

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

G. R. REZAEEZADEH; Z. AGHAJARI

Volume 5, Issue 2 , Winter and Spring 2018, , Pages 139-148

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

3. ON FINITE GROUPS IN WHICH SS-SEMIPERMUTABILITY IS A TRANSITIVE RELATION

S.E. Mirdamadi; Gh.R Rezaeezadeh

Volume 4, Issue 1 , Summer and Autumn 2016, , Pages 29-36

Abstract
  Let H be a subgroup of a finite group G. We say that H is SS-semipermutable in Gif H has a supplement K in G such that H permutes with every Sylow subgroup X of Kwith (jXj; jHj) = 1. In this paper, the Structure of SS-semipermutable subgroups, and finitegroups in which SS-semipermutability is a transitive ...  Read More