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arXiv · 1403.2775

All even permutations with large support are commutators of generating pairs

David Zmiaikou
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Abstract

We establish that any even permutation from A_n moving at least [3n/4] + o(n) points is the commutator of a generating pair of A_n and a generating pair of S_n. From this we deduce an exponential lower bound on the number of systems of transitivity in alternating and symmetric groups.

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David Zmiaikou. 2014-03-11. All even permutations with large support are commutators of generating pairs. https://arxiv.org/abs/1403.2775

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