Quotients of mapping class groups from Out(F_n)

2016/08/12 by Bou-Rabee, Khalid, Leininger, Christopher J.
#FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1608.03868

Abstract

We give a short proof of Masbaum and Reid's result that mapping class groups involve any finite group, appealing to free quotients of surface groups and a result of Gilman, following Dunfield-Thurston.

Related

• Algebraic K-theory of mapping class groups
• Constraining mapping class group homomorphisms using finite subgroups
• Free products of abelian groups in mapping class groups
• Generating mapping class groups with elements of fixed finite order
• Virtual algebraic fibrations of surface-by-surface groups and orbits of the mapping class group