Highly set-transitive group action

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Revision as of 01:26, 1 January 2009 by Vipul (talk | contribs) (New page: {{group action property}} ==Definition== A group action on a set is termed '''highly set-transitive''' or '''highly homogeneous''' if it is <math>k</math>-set-transitive (in the sens...)
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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 on a set is termed highly set-transitive or highly homogeneous if it is -set-transitive (in the sense of a multiply set-transitive group action) for every positive integer .

Relation with other properties

Stronger properties

Weaker properties