Some new properties of non-abelian tensor analogues of 2-auto Engel groups

Document Type : Research Articles

Authors

Department of Mathematics, Esfarayen University of Technology, Esfarayen, Iran

Abstract

In this paper, we study the concept of

2_{\otimes}

-auto Engel groups. Among other results, we prove that for any group

G

, if every element of

G \otimes A u t (G)

2_{\otimes}

-Engel group, then

⟨ (g \otimes α), (g \otimes α)^{g^{'} \otimes α^{'}} ⟩

is a nilpotent subgroup of class at most

2

G \otimes A u t (G)

, for all

g, g^{'} \in G

and

α, α^{'} \in A u t (G)

Keywords

Main Subjects