Transitive group action
A group action of a group on a set is called transitive if for all there exists such that Basically, that there is always a way to get between any two elements of the set using the group action.
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A group action of a group on a set X is called transitive if for all x,y∈X there exists g∈G such that y=gx Basically, that there is always a way to get between any two elements of the set using the group action.