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arXiv:2306.13363 [math.GR]AbstractReferencesReviewsResources

A Characterization of Group Through Isomorphism Classes of Transversals

Vivek Kumar Jain, Raja Rawat

Published 2023-06-23Version 1

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.

Comments: 20 pages, 1 table
Categories: math.GR
Subjects: 20D60, 20N05
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