#### Vol. 312, No. 1, 2021

 Recent Issues Vol. 315: 1  2 Vol. 314: 1  2 Vol. 313: 1  2 Vol. 312: 1  2 Vol. 311: 1  2 Vol. 310: 1  2 Vol. 309: 1  2 Vol. 308: 1  2 Online Archive Volume: Issue:
 The Journal Subscriptions Editorial Board Officers Contacts Submission Guidelines Submission Form Policies for Authors ISSN: 1945-5844 (e-only) ISSN: 0030-8730 (print) Special Issues Author Index To Appear Other MSP Journals
On the Bieri–Neumann–Strebel–Renz $\Sigma^1$-invariant of even Artin groups

### Dessislava H. Kochloukova

Vol. 312 (2021), No. 1, 149–169
##### Abstract

We calculate the Bieri–Neumann–Strebel–Renz invariant ${\Sigma }^{1}\left(G\right)$ for even Artin groups $G$ with underlying graph $\Gamma$ such that if there is a closed reduced path in $\Gamma$ with all labels bigger than 2 then the length of such a path is always odd. We show that ${\Sigma }^{1}{\left(G\right)}^{c}$ is a rationally defined spherical polyhedron.

We have not been able to recognize your IP address 54.224.133.198 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.

even Artin groups, $\Sigma$-invariants