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arxiv: 1007.3869 · v1 · submitted 2010-07-22 · 🧮 math.CO · math.GR

What Could Be a Simple Permutation?

classification 🧮 math.CO math.GR
keywords permutationsimpledefinedifferentanalyzeasymptoticchoicesclasses
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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.

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