Geodesic
Smallest nonabelian quotients of surface braid groups
Tan, Cindy1
1 Department of Mathematics, University of Chicago, Chicago, IL, United States
Algebraic and Geometric Topology, Tome 24 (2024) no. 7, pp. 3997-4006

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We give a sharp lower bound on the size of nonabelian quotients of the surface braid group Bn(Σg) and classify all quotients that attain the lower bound: depending on n and g, a quotient of minimum order is either a symmetric group or a 2–step nilpotent p–group.

DOI : 10.2140/agt.2024.24.3997
Keywords: surface braid groups, configuration spaces, just nilpotent groups, extraspecial groups

Tan, Cindy 1

1 Department of Mathematics, University of Chicago, Chicago, IL, United States 
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Tan, Cindy. Smallest nonabelian quotients of surface braid groups. Algebraic and Geometric Topology, Tome 24 (2024) no. 7, pp. 3997-4006. doi: 10.2140/agt.2024.24.3997

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