Semiregular group action

From Groupprops

This article defines a group action property or a property of group actions: a property that can be evaluated for a group acting on a set.
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VIEW RELATED: group action property implications | group action property non-implications | {{{context space}}} metaproperty satisfactions | group action metaproperty dissatisfactions | group action property satisfactions |group action property dissatisfactions

Definition

A group action of a group on a nonempty set is termed semiregular or free if for any two (possibly equal) elements in the set, there is at most one element of the group taking the first element to the second.

Relation with other properties

Stronger properties

Weaker properties