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Profinite rigidity
properties of central extensions of $2$-orbifold groups
Paweł Piwek |
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Algebraic & Geometric Topology 26 (2026) 565–597
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Abstract |
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We extend Wilkes’ results on the profinite rigidity of Seifert fibre spaces to the setting of central extensions of 2-orbifold groups with higher-rank centre. We prove that both rigid and nonrigid phenomena arise in this setting and that the nonrigid phenomena are transient in the sense that if , then . |
Keywords
profinite rigidity, group cohomology, $2$-orbifolds
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Mathematical Subject Classification
Primary: 20E26
Secondary: 20E18
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References |
Publication
Received: 27 March 2024
Revised: 24 November 2024
Accepted: 19 March 2025
Published: 11 February 2026
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Authors |
| Paweł Piwek | |
| Mathematical Institute University of Oxford Oxford United Kingdom |
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| © 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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