The Bieri-Neumann-Strebel invariant of the pure symmetric automorphisms of a right-angled artin group

Nic Koban; Adam Piggott

doi:10.1215/ijm/1427897167

The Bieri-Neumann-Strebel invariant of the pure symmetric automorphisms of a right-angled artin group

Nic Koban, Adam Piggott

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	27-41
Number of pages	15
Journal	Illinois Journal of Mathematics
Volume	58
Issue number	1
DOIs	https://doi.org/10.1215/ijm/1427897167
Publication status	Published - 1 Mar 2014
Externally published	Yes

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title = "The Bieri-Neumann-Strebel invariant of the pure symmetric automorphisms of a right-angled artin group",

abstract = "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.",

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AB - 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.

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The Bieri-Neumann-Strebel invariant of the pure symmetric automorphisms of a right-angled artin group

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