... (1 + q ) = i=1 Even -signed Even Permutations We denote by Dn the group of even -signed permutations, that is the subgroup of Bn consisting of all the signed permutations having an even number of ... (2004), #R83 The Group of Signed Even Permutations Our main object of interest in this paper is the group Ln := C2 An It is the subgroup of Bn of index containing the signed even permutations (which ... Therefore by induction π = π0 πn−2 πn−1 L with πj ∈ Rj for all ≤ j ≤ n − −1 For example, let π = [3, 5, −4, 2, −1], then π3 = a3 a2 a1 ; ππ3 = [−4, 3, 2, −1, 5], there−1 −1 −1 −1 −1 fore π2...