Distributive subsets of the group of all invertible continuous binary operations on a topological space are considered, and it is proved that the subgroups generated by them are also distributive. A criterion for the distributivity of a binary action of a topological group G on a space X is obtained. The concept of transitive binary G -space is introduced, and a classification of transitive distributive binary G -spaces is given in the case of a compact group G.
P. S. Gevorgyan (Wed,) studied this question.