Smallest noncyclic quotients of braid and mapping class groups

DOI10.2140/gt.2023.27.2479arXiv2110.02162OpenAlexW3202456830MaRDI QIDQ6142257

Unnamed Author

Publication date: 21 December 2023

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.02162

zbMATH Keywords

braid groupsmapping class groupssmallest noncyclic quotients

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

• Unnamed Item
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• On minimal finite quotients of mapping class groups
• Finite quotients of braid groups
• On the smallest non-trivial quotients of mapping class groups
• A new approach to the word and conjugacy problems in the braid groups
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Normal generators for mapping class groups are abundant
• Theory of braids
• Braids and permutations
• Homomorphisms of commutator subgroups of braid groups

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