English

A Study of Groups through Transversals

Group Theory 2015-05-29 v1

Abstract

In this note, a necessary and sufficient condition for the normalizer of a core-free subgroup HH of a finite group GG to be normal in GG is obtained. Also, a known result of finite groups is obtained through transversal.

Keywords

Cite

@article{arxiv.1505.07654,
  title  = {A Study of Groups through Transversals},
  author = {Vivek Kumar Jain and Vipul Kakkar},
  journal= {arXiv preprint arXiv:1505.07654},
  year   = {2015}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1402.3378, arXiv:1307.5392

R2 v1 2026-06-22T09:43:03.502Z