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What (who) is 2-transitive group - definition
2-transitive group
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Doubly transitive; Two transitive group; Doubly transitive group; Doubly transitive permutation group; 2-transitive permutation group; Doubly-transitive permutation group; Doubly transitive permutation representation; 2-transitive; 2-transitive group
A 2-transitive group is a transitive group used in group theory in which the stabilizer subgroup of every point acts transitively on the remaining points. Equivalently, a group G acts 2-transitively on a set S if it acts transitively on the set of distinct ordered pairs \{ (x,y) \in S \times S : x \neq y \}.
Multiply transitive group action
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Doubly transitive; Two transitive group; Doubly transitive group; Doubly transitive permutation group; 2-transitive permutation group; Doubly-transitive permutation group; Doubly transitive permutation representation; 2-transitive; 2-transitive group
A group G acts 2-transitively on a set S if it acts transitively on the set of distinct ordered pairs \{ (x,y) \in S \times S : x \neq y \}. That is, assuming (without a real loss of generality) that G acts on the left of S, for each pair of pairs (x,y),(w,z)\in S\times S with x \neq y and w\neq z, there exists a g\in G such that g(x,y) = (w,z).
UEFA Women's Euro 2013 qualifying Group 2
The UEFA Women's Euro 2013 qualifying – Group 2 was contested by six teams competing for one spot for the final tournament.
