Abstract
nez-Castiblanco Dedicated to Jes us Hernando P erez (Pelusa), teacher and friend. Abstract. The problem of genealogy of permutations has been solved partially by Stefan (odd order) and Acosta-Hum anez & Bernhardt (power of two). It is well known that Sharkovskii's theorem shows the relationship between the cardinal of the set of periodic points of a continuous map, but simple per- mutations will show the behaviour of those periodic points. Recently Abdulla et al studied the structure of minimal 4n + 2-orbits of the continuous endo- morphisms on the real line. This paper studies some combinatorial dynamics structures of permutations of mixed order 4n + 2, describing its genealogy, using Pasting and Reversing.
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