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Lewis Molyneux,
Brita Nucinkis, and
Yuri Santos Rego
The sigma invariants for the golden mean Thompson group
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| Published: |
March 31, 2024. |
| Keywords: |
Thompson groups; golden ratio; BNSR sigma invariants; finite index; finiteness proporties; HNN extensions. |
| Subject [2010]: |
20F65, 57M07, 20E06, 20F69. |
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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.
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| Acknowledgements
YSR was partially supported by the Deutsche Forschungsgemeinschaft
(DFG, German Research Foundation), 314838170, GRK 2297 MathCoRe, while working on this project at the OvGU Magdeburg.
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| Author information
Lewis Molyneux
Royal Holloway, University of London
Department of Mathematics
McCrea Building, TW20 0EX Egham, UK
lewis.molyneux@rhul.ac.uk
Brita Nucinkis
Royal Holloway, University of London
Department of Mathematics
McCrea Building, TW20 0EX Egham, UK
brita.nucinkis@rhul.ac.uk
Yuri Santos Rego
University of Lincoln
Charlotte Scott Research Centre for Algebra
School of Mathematics and Physics
Brayford Pool, LN6 7TS Lincoln, UK
ysantosrego@lincoln.ac.uk
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