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math.CO2003
q Statistics on and Pattern Avoidance
Amitai Regev, Yuval Roichman
Natural q analogues of classical statistics on the symmetric groups are introduced; parameters like: the q-length, the q-inversion number, the q-descent number and the q-majo…
math.CO2003★ 2 cited
Permutation Statistics on the Alternating Group
Amitai Regev, Yuval Roichman
Let denote the alternating and the symmetric groups on . MacMahaon's theorem, about the equi-distribution of the length and the major indices in ,…