A Foata bijection for the alternating group and for -analogues.

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Duration: 3 min 30 s
Description: The Foata bijection : Sn ! Sn is extended to the bijections : An+1 ! An+1 and q : Sn+q 1 ! Sn+q 1, where Sm, Am are the symmetric and the alternating groups. These bijections imply bijective proofs for recent equidistribution theorems, by Regev and Roichman, for An+1 and for Sn+q 1.
Dan Bernstein; Amitai Regev
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