The Bieri-Neumann-Strebel Invariant of the Pure Symmetric Automorphisms of a Right-Angled Artin Group

Authors

Adam Piggott, Bucknell UniversityFollow
Nic Koban, University of Maine, Farmington

Publication Date

2014

Description

We compute the BNS-invariant for the pure symmetric automorphism groups of right-angled Artin groups. We use this calculation to show that the pure symmetric automorphism group of a right-angled Artin group is itself not a right-angled Artin group provided that its defining graph contains a separating intersection of links.

Journal

Illinois Journal of Mathematics

Volume

58

Issue

1

First Page

27

Last Page

41

Department

Mathematics

Recommended Citation

Piggott, Adam and Koban, Nic. "The Bieri-Neumann-Strebel Invariant of the Pure Symmetric Automorphisms of a Right-Angled Artin Group." Illinois Journal of Mathematics (2014) : 27-41.