Random outer automorphisms of free groups: Attracting trees and their singularity structures

Autor:	Kapovich, Ilya, Maher, Joseph, Pfaff, Catherine, Taylor, Samuel J.
Rok vydání:	2018
Předmět:	Mathematics - Group Theory Mathematics - Geometric Topology Primary 20F65 Secondary 57M 37B 37D
Druh dokumentu:	Working Paper
Popis:	We prove that a "random" free group outer automorphism is an ageometric fully irreducible outer automorphism whose ideal Whitehead graph is a union of triangles. In particular, we show that its attracting (and repelling) tree is a nongeometric $\mathbb R$-tree all of whose branch points are trivalent Comment: 27 pages comments are welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.12382 Zobrazit plný text záznamu View this record from Arxiv