Geometry & Topology
- Geom. Topol.
- Volume 21, Number 2 (2017), 1131-1178.
Outer space for untwisted automorphisms of right-angled Artin groups
For a right-angled Artin group , the untwisted outer automorphism group is the subgroup of generated by all of the Laurence–Servatius generators except twists (where a twist is an automorphism of the form with ). We define a space on which acts properly and prove that is contractible, providing a geometric model for and its subgroups. We also propose a geometric model for all of , defined by allowing more general markings and metrics on points of .
Geom. Topol., Volume 21, Number 2 (2017), 1131-1178.
Received: 23 September 2015
Revised: 5 February 2016
Accepted: 25 March 2016
First available in Project Euclid: 16 November 2017
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Charney, Ruth; Stambaugh, Nathaniel; Vogtmann, Karen. Outer space for untwisted automorphisms of right-angled Artin groups. Geom. Topol. 21 (2017), no. 2, 1131--1178. doi:10.2140/gt.2017.21.1131. https://projecteuclid.org/euclid.gt/1510859176