Title : ( Nilpotent groups related to an automorphism )
Authors: Ahmad Erfanian , masoumeh ganjali ,
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Abstract
Abstract. The aim of this paper is to state some results on an α-nilpotent group, which was recently introduced by Barzegar and Erfanian (Caspian J. Math. Sci. 4(2) (2015) 271–283), for any fixed automorphism α of a group G. We define an identity nilpotent group and classify all finitely generated identity nilpotent groups. Moreover, we prove a theorem on a generalization of the converse of the known Schur’s theorem. In the last section of the paper, we study absolute normal subgroups of a finite group.
Keywords
Nilpotent group; identity nilpotent group; absolute normal subgroup
@article{paperid:1071095,
author = {Erfanian, Ahmad and Ganjali, Masoumeh},
title = {Nilpotent groups related to an automorphism},
journal = {Proceedings of the Indian Academy of Sciences - Mathematical Sciences},
year = {2018},
volume = {128},
number = {5},
month = {October},
issn = {0253-4142},
pages = {1--12},
numpages = {11},
keywords = {Nilpotent group; identity nilpotent group; absolute normal subgroup},
}
%0 Journal Article
%T Nilpotent groups related to an automorphism
%A Erfanian, Ahmad
%A Ganjali, Masoumeh
%J Proceedings of the Indian Academy of Sciences - Mathematical Sciences
%@ 0253-4142
%D 2018
