Title : ( Engelizer subgroup of a 2-Engel transitive groups )
Authors: Mohammad Reza Rajabzadeh Moghaddam , Mohammad Amin Rostamyari ,
Full TextAbstract
Abstract. A general notion of Chi-transitive groups was introduced by C. Delizia et al. in [6], whereChi is a class of groups. In [5], Ciobanu, Fine and Rosenberger studied the relationship among the notions of conjugately separated abelian, commutative transitive and fully residually Chi-groups. In this article we study the concept of 2-Engel transitive groups and among other results, its relationship with conjugately separated 2-Engel and fully residually Chi-groups are established. We also introduce the no- tion of 2-Engelizer of the element x in G and denote the set of all 2- Engelizers in G by E^2(G). Then we construct the possible values of |E^2(G)|.
Keywords
, 2-ET group, CSE^2-group, residually Chi-group, fully residually Chi-group, 2-Engelizer subgroup.
@article{paperid:1065628,
author = {Rajabzadeh Moghaddam, Mohammad Reza and Rostamyari, Mohammad Amin},
title = {Engelizer subgroup of a 2-Engel transitive groups},
journal = {Bulletin of the Korean Mathematical Society },
year = {2016},
volume = {53},
number = {3},
month = {June},
issn = {1015-8634},
pages = {657--665},
numpages = {8},
keywords = {2-ET group; CSE^2-group; residually Chi-group; fully residually Chi-group; 2-Engelizer subgroup.},
}
%0 Journal Article
%T Engelizer subgroup of a 2-Engel transitive groups
%A Rajabzadeh Moghaddam, Mohammad Reza
%A Rostamyari, Mohammad Amin
%J Bulletin of the Korean Mathematical Society
%@ 1015-8634
%D 2016
