A property of alternating groups

Details A property of alternating groups A property of alternating groups

2003-03-04

arxiv.org/abs/math/0303036v2

Mathematics

Group Theory

Scientific paper

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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