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Smallest nonabelian
quotients of surface braid groups
Cindy Tan |
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Algebraic & Geometric Topology 24 (2024) 3997–4006
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Abstract |
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We give a sharp lower bound on the size of nonabelian quotients of the surface braid group and classify all quotients that attain the lower bound: depending on and , a quotient of minimum order is either a symmetric group or a –step nilpotent –group. |
Keywords
surface braid groups, configuration spaces, just nilpotent
groups, extraspecial groups
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Mathematical Subject Classification
Primary: 20F65
Secondary: 57K20
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References |
Publication
Received: 16 January 2023
Revised: 7 June 2023
Accepted: 1 August 2023
Published: 9 December 2024
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Authors |
| Cindy Tan | |
| Department of Mathematics University of Chicago Chicago, IL United States |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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