Some Characterizations of a Normal Subgroup of a Group
Group Theory
2012-03-13 v2
Abstract
Let G be a group and H be a subgroup of G which is either finite or of finite index in G. In this note, we give some characterizations for normality of H in G. As a consequence we get a very short and elementary proof of the Main Theorem of [5], which avoids the use of the classification of finite simple groups
Keywords
Cite
@article{arxiv.1202.5626,
title = {Some Characterizations of a Normal Subgroup of a Group},
author = {Vipul Kakkar and R. P. Shukla},
journal= {arXiv preprint arXiv:1202.5626},
year = {2012}
}