The categories of right hypergroups over a group and of group triples (group, subgroup, right transversal) are equivalent via explicitly constructed functors.
H., Structures induced on ttansversals to subgroups of a group a nd hypergroups over the group,
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Equivalence of the categories of group triples and of hypergroups over the group
The categories of right hypergroups over a group and of group triples (group, subgroup, right transversal) are equivalent via explicitly constructed functors.