Genealog´õa de permutaciones simples de orden una potencia de dos Genealogy of simple permutations with order a power of two

The aim of this paper is to show some properties of simple per- mutations with order a power of two and to give a combinatorial formula to determine its genealogy involving two new operations: the pasting operation and reversing. Simple permutations are very important because corresponds to primary orbits or minimal orbits and in particular, simple permutations with order a