In this paper, we introduce the concept of αα -normal subgroup of a finite group G, where αα is an automorphism of G. We also introduce the concept of absolute normal subgroup and investigate all absolute normal subgroups ...

Abstract. The aim of this paper is to state some results on an α-nilpotent group, which

was recently introduced by Barzegar and Erfanian (Caspian J. Math. Sci. 4(2) (2015)

271–283), for any fixed automorphism ...

Abstract. The aim of this article is to give a new extension of

nilpotent groups in terms of an automorphism of the group which

is an ordinary nilpotent group, whenever we put an identity au-

tomorphism. ...

Let G be a finite non-abelian group and g a fixed element of G. In 2014, Tolue et al. introduced the g-noncommuting graph of G, which was denoted by Γg G with vertex set G and two distinct vertices x and y join by an edge ...

Let G be a finite non-abelian group and g be a fixed element of G. In 2014, Tolue et al. introduced the g-noncommuting graph of G (denoted by $\\Gamma_G^g$) with vertex set G and two distinct vertices x and y join by an ...