A NEW NOTION OF TRANSITIVITY FOR GROUPS AND SETS OF PERMUTATIONS
A NEW NOTION OF TRANSITIVITY FOR GROUPS AND SETS OF PERMUTATIONS
Let Ω = {1, 2, …, n} where n ⩾ 2. The shape of an ordered set partition P = (P1, …, Pk) of Ω is the integer partition λ = (λ1, …, λk) defined by λi = |Pi|. Let G be a group of permutations acting on Ω. For …