The Sigma invariants for the Golden Mean Thompson group

Molyneux, Lewis; Nucinkis, Brita; Santos Rego, Yuri

The Sigma invariants for the Golden Mean Thompson group

journal contribution

posted on 2024-07-23, 09:32 authored by Lewis Molyneux, Brita Nucinkis, Yuri Santos RegoYuri Santos Rego

Abstract:

We use a method of Bieri, Geoghegan and Kochloukova to calculate the BNSR-invariants for the irrational slope Thompson's group Fτ. 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.

Funding

Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), 314838170, GRK 2297 MathCoRe

History

School affiliated with

School of Mathematics and Physics (Research Outputs)
College of Health and Science (Research Outputs)

Publication Title

New York Journal of Mathematics

Volume

30

Pages/Article Number

532 - 549

Publisher

State University of New York

External DOI

http://nyjm.albany.edu/j/2024/30-23.html

ISSN

1076-9803

eISSN

1076-9803

Date Accepted

2024-02-28

Date of First Publication

2024-03-31

Date of Final Publication

2024-03-31

Open Access Status

Open Access

Usage metrics

Keywords

Thompson groups Golden ratio Finiteness properties BNSR Sigma invariants HNN extensions

Licence

CC BY 4.0

The Sigma invariants for the Golden Mean Thompson group

Funding

Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), 314838170, GRK 2297 MathCoRe

History

School affiliated with

Publication Title

Volume

Pages/Article Number

Publisher

External DOI

ISSN

eISSN

Date Accepted

Date of First Publication

Date of Final Publication

Open Access Status

Usage metrics

Categories

Keywords

Licence

Exports