English

What Could Be a Simple Permutation?

Combinatorics 2010-07-23 v1 Group Theory

Abstract

Different ways to describe a permutation, as a sequence of integers, or a product of Coxeter generators, or a tree, give different choices to define a simple permutation. We recollect few of them, define new types of simple permutations, and analyze their interconnections and some asymptotic and geometrical properties of these classes.

Keywords

Cite

@article{arxiv.1007.3869,
  title  = {What Could Be a Simple Permutation?},
  author = {Rehana Ashraf and Barbu Berceanu and Ayesha Riasat},
  journal= {arXiv preprint arXiv:1007.3869},
  year   = {2010}
}

Comments

19 pages, 11 figures

R2 v1 2026-06-21T15:51:29.313Z