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arXiv:1403.2775 [math.GR]AbstractReferencesReviewsResources

All even permutations with large support are commutators of generating pairs

David Zmiaikou

Published 2014-03-11Version 1

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.

Comments: 8 pages, 2 tables
Categories: math.GR
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