Simple permutations with order 4n + 2
Primitivo B. Acosta-Hum, Eduardo Mart · arXiv (Cornell University) · 2010
The problem of genealogy of permutations has been solved par- tially 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 permu- tations will show the behavior of those periodic points. This paper studies the structure of permutations of mixed order 4n + 2, its properties and a way to describe its genealogy by using Pasting and Reversing.