The sigma invariants for the golden mean Thompson group

Lewis Molyneux; Brita Nucinkis; Yuri Santos Rego

The sigma invariants for the golden mean Thompson group

Lewis Molyneux
, Brita Nucinkis
, Yuri Santos Rego

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

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Abstract

We use a method of Bieri, Geoghegan and Kochloukova to calculate the BNSR-invariants for the Golden-Mean Thompson’s group. 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.

Original language	English
Pages (from-to)	532-549
Number of pages	18
Journal	New York Journal of Mathematics
Volume	30
Publication status	Published - 31 Mar 2024

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title = "The sigma invariants for the golden mean Thompson group",

abstract = "We use a method of Bieri, Geoghegan and Kochloukova to calculate the BNSR-invariants for the Golden-Mean Thompson{\textquoteright}s group. 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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AU - Molyneux, Lewis

AU - Nucinkis, Brita

AU - Santos Rego, Yuri

PY - 2024/3/31

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N2 - We use a method of Bieri, Geoghegan and Kochloukova to calculate the BNSR-invariants for the Golden-Mean Thompson’s group. 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.

AB - We use a method of Bieri, Geoghegan and Kochloukova to calculate the BNSR-invariants for the Golden-Mean Thompson’s group. 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.

M3 - Article

VL - 30

SP - 532

EP - 549

JO - New York Journal of Mathematics

JF - New York Journal of Mathematics

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