The paper proves distributivity preservation under subgroup generation, gives a distributivity criterion for binary actions, and classifies transitive distributive binary G-spaces when G is compact.
tom Dieck,Transformation Groups, De Gruyter Studies in Mathematics, vol
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On the Transitive Binary $G$-Spaces
The paper proves distributivity preservation under subgroup generation, gives a distributivity criterion for binary actions, and classifies transitive distributive binary G-spaces when G is compact.