Geodesic
Finite image homomorphisms of the braid group and its generalizations
Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 430-445

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DOI

Using totally symmetric sets, Chudnovsky–Kordek–Li–Partin gave a superexponential lower bound on the cardinality of non-abelian finite quotients of the braid group. In this paper, we develop new techniques using multiple totally symmetric sets to count elements in non-abelian finite quotients of the braid group. Using these techniques, we improve the lower bound found by Chudnovsky et al. We exhibit totally symmetric sets in the virtual and welded braid groups and use our new techniques to find superexponential bounds for the finite quotients of the virtual and welded braid groups.
DOI : 10.1017/S0017089523000022
Mots-clés : Braid groups, virtual braids, welded braids, totally symmetric sets 
Scherich, Nancy; Verberne, Yvon. Finite image homomorphisms of the braid group and its generalizations. Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 430-445. doi: 10.1017/S0017089523000022
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     title = {Finite image homomorphisms of the braid group and its generalizations},
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     year = {2023},
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