The Sigma invariants for the Golden Mean Thompson group

Fuente: arXiv
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Main Authors: Molyneux, Lewis, Nucinkis, Brita, Rego, Yuri Santos
Format: Preprint
Published: 2023
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author Molyneux, Lewis
Nucinkis, Brita
Rego, Yuri Santos
author_facet Molyneux, Lewis
Nucinkis, Brita
Rego, Yuri Santos
contents We use a method of Bieri, Geoghegan and Kochloukova to calculate the BNSR-invariants for the irrational slope Thompson's group $F_τ$. To do so we establish conditions under which the Sigma invariants coincide with those of a subgroup of finite index, addressing a problem posed by Strebel.
format Preprint
id arxiv_https___arxiv_org_abs_2309_12213
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The Sigma invariants for the Golden Mean Thompson group
Molyneux, Lewis
Nucinkis, Brita
Rego, Yuri Santos
Group Theory
20F65, 20F38, 57M07, 57S05
We use a method of Bieri, Geoghegan and Kochloukova to calculate the BNSR-invariants for the irrational slope Thompson's group $F_τ$. To do so we establish conditions under which the Sigma invariants coincide with those of a subgroup of finite index, addressing a problem posed by Strebel.
title The Sigma invariants for the Golden Mean Thompson group
topic Group Theory
20F65, 20F38, 57M07, 57S05
url https://arxiv.org/abs/2309.12213