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A property of alternating groups

Henry Cejtin·Igor Rivin
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Abstract

We describe an efficient algorithm to write any element of the alternating group A_n as a product of two n-cycles (in particular, we show that any element of A_n can be so written -- a result of E. A. Bertram). An easy corollary is that every element of A_n is a commutator in the symmetric group S_n.

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Henry Cejtin, Igor Rivin. 2003-03-18. A property of alternating groups. https://arxiv.org/abs/math/0303036

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