Title : ( Some properties of central kernel and central autocommutator subgroups )
Authors: samaneh davoudi rad , Mohammad Reza Rajabzadeh Moghaddam , Mohammad Amin Rostamyari ,
Full TextAbstract
Abstract. A classical result of Schur states that if the central quotient G/Z(G) of a group G is finite, then the commutator subgroup G is also finite. In this paper we introduce the notion of central autocommutator subgroup of a given group G. We study this concept and give some new results concerning the central kernel subgroup of G, which was first introduced by F. Haimo in 1955. More precisely, the analogue of Schur’s result is proved. We also construct some upper bounds for the order of central kernel and central autocommutator subgroups of G in terms of the order of central kernel quotient of G.
Keywords
Central kernel; central autocommutator subgroup; autocenter; central automorphism.
@article{paperid:1065604,
author = {Davoudi Rad, Samaneh and Rajabzadeh Moghaddam, Mohammad Reza and Rostamyari, Mohammad Amin},
title = {Some properties of central kernel and central autocommutator subgroups},
journal = {Journal of Algebra and its Applications},
year = {2016},
volume = {15},
number = {7},
month = {September},
issn = {0219-4988},
pages = {1650128--1650135},
numpages = {7},
keywords = {Central kernel; central autocommutator subgroup; autocenter; central automorphism.},
}
%0 Journal Article
%T Some properties of central kernel and central autocommutator subgroups
%A Davoudi Rad, Samaneh
%A Rajabzadeh Moghaddam, Mohammad Reza
%A Rostamyari, Mohammad Amin
%J Journal of Algebra and its Applications
%@ 0219-4988
%D 2016
