Title : ( NON-ABELIAN TENSOR ANALOGUES OF 2-AUTO ENGEL GROUPS )
Authors: Mohammad Reza Rajabzadeh Moghaddam , M. J. Sadeghifard ,
Full TextAbstract
Abstract. The concept of tensor analogues of right 2-Engel elements in groups were defined and studied by Biddle and Kappe [1] and Moravec [9]. Using the automorphisms of a given group G, we introduce the notion of tensor analogue of 2-auto Engel elements in G and investigate their properties. Also the concept of 2⊗-auto Engel groups is introduced and we prove that if G is a 2⊗-auto Engel group, then G ⊗ Aut(G) is abelian. Finally, we construct a non-abelian 2-auto-Engel group G so that its non-abelian tensor product by Aut(G) is abelian.
Keywords
, non-abelian tensor product, auto-Engel element, autocommutator subgroup, absolute centre.
@article{paperid:1065625,
author = {Rajabzadeh Moghaddam, Mohammad Reza and M. J. Sadeghifard},
title = {NON-ABELIAN TENSOR ANALOGUES OF 2-AUTO ENGEL GROUPS},
journal = {Bulletin of the Korean Mathematical Society },
year = {2015},
volume = {52},
number = {4},
month = {July},
issn = {1015-8634},
pages = {1097--1105},
numpages = {8},
keywords = {non-abelian tensor product; auto-Engel element; autocommutator subgroup; absolute centre.},
}
%0 Journal Article
%T NON-ABELIAN TENSOR ANALOGUES OF 2-AUTO ENGEL GROUPS
%A Rajabzadeh Moghaddam, Mohammad Reza
%A M. J. Sadeghifard
%J Bulletin of the Korean Mathematical Society
%@ 1015-8634
%D 2015
