A Characterization of Group Through Isomorphism Classes of Transversals
Group Theory
2024-01-09 v2
Abstract
Let G be a group and H a subgroup of G of finite index. In this article, it is proved that if the number of isomorphism classes of right transversals of H in G is 5, then the index of H in G is 6 and the permutation representation of G on right cosets of H in G is isomorphic to the alternating group on four symbols.
Keywords
Cite
@article{arxiv.2306.13363,
title = {A Characterization of Group Through Isomorphism Classes of Transversals},
author = {Vivek Kumar Jain and Raja Rawat},
journal= {arXiv preprint arXiv:2306.13363},
year = {2024}
}
Comments
some corrections are to be made