Title : ( On c-capability and n-isoclinic families of a specific class of groups )
Authors: Marzieh Chakaneh , Azam Kaheni , Saeed Kayvanfar ,
Full TextAbstract
Let χ denote the class of all groups G such that (G) ∩ Z(G) = 1. In this paper, it is shown that the converse of Baer’s theorem holds for the groups in χ. Then we prove that the existence of the isomorphism between the center factors of the groups in χ suffices for those groups to be isoclinic.We also prove that the isoclinism coincides with the n-isoclinism in χ. Finally, we obtain a criterion for c-capability of finite groups in χ.
Keywords
, c, Capable group; n, isoclinic; Baer’s theorem; c, nilpotent multiplier.
@article{paperid:1074585,
author = {Chakaneh, Marzieh and Azam Kaheni and Kayvanfar, Saeed},
title = {On c-capability and n-isoclinic families of a specific class of groups},
journal = {Proceedings of the Indian Academy of Sciences - Mathematical Sciences},
year = {2019},
volume = {129},
number = {50},
month = {September},
issn = {0253-4142},
pages = {1--9},
numpages = {8},
keywords = {c-Capable group; n-isoclinic; Baer’s theorem; c-nilpotent multiplier.},
}
%0 Journal Article
%T On c-capability and n-isoclinic families of a specific class of groups
%A Chakaneh, Marzieh
%A Azam Kaheni
%A Kayvanfar, Saeed
%J Proceedings of the Indian Academy of Sciences - Mathematical Sciences
%@ 0253-4142
%D 2019
