Abstract
In this paper, we construct a functor from the set of bicoset multivalued groups with one Hermitian generator to the set of symmetric graphs. The functor makes it possible to describe the set of bicoset multivalued groups with one Hermitian generator as a sum of categories. The categories are indexed by pairs (ΓU,GU), where ΓU is a universal symmetric graph and GU is a subgroup of Aut(ΓU). Bibliography: 5 titles.
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