2023/06/23 by Jain, Vivek Kumar, Rawat, Raja
#20D60 #20N05 #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.2306.13363
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.