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math.GR2014

All even permutations with large support are commutators of generating pairs

David Zmiaikou

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…

math.GR2012★ 2 cited

The probability of generating the symmetric group with a commutator condition

David Zmiaikou

Let B(n) be the set of pairs of permutations from the symmetric group of degree n with a 3-cycle commutator, and let A(n) be the set of those pairs which generate the symmetric or…