On the smallest non-trivial quotients of mapping class groups

DOI10.4171/GGD/552MaRDI QIDQ784891

Dawid Kielak, Emilio Pierro

Publication date: 3 August 2020

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.10223

zbMATH Keywords

finite quotientsmapping class groupsprojective representations

Mathematics Subject Classification ID

Geometric group theory (20F65) Finite simple groups and their classification (20D05) Residual properties and generalizations; residually finite groups (20E26) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (1)

Smallest noncyclic quotients of braid and mapping class groups

Uses Software

• GAP

Cites Work

• The automorphism group of a free group is not linear
• Homomorphisms between mapping class groups
• Outer automorphism groups of free groups: linear and free representations
• Triviality of some representations of 𝑀𝐶𝐺(𝑆_{𝑔}) in 𝐺𝐿(𝑛,ℂ),𝔻𝕚𝕗𝕗(𝕊²) and ℍ𝕠𝕞𝕖𝕠(𝕋²)
• The Finite Simple Groups
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• On the Residual Finiteness of Certain Mapping Class Groups
• On the smallest non‐abelian quotient of Aut(Fn)
• Finite index subgroups of mapping class groups
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