On the linearity problem for mapping class groups

DOI10.2140/agt.2001.1.445zbMath0977.57014arXivmath/0103148OpenAlexW2146073550MaRDI QIDQ5942400

Tara E. Brendle, Hessam Hamidi-Tehrani

Publication date: 29 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/0103148

zbMATH Keywords

diffeomorphismrepresentationlineargroupgraph of groupsmapping classpoisonpure

Mathematics Subject Classification ID

Geometric group theory (20F65) General low-dimensional topology (57M99) Topological methods in group theory (57M07) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items

Unnamed Item, On Certain Questions of the Free Group Automorphisms Theory, An effective Lie-Kolchin theorem for quasi-unipotent matrices, On the first cohomology of automorphism groups of graph groups, On visualization of the linearity problem for mapping class groups of surfaces

Cites Work

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• Covering theory for graphs of groups
• Abelian and solvable subgroups of the mapping class group
• On the linearity of automorphism groups of free groups
• The automorphism group of a free group is not linear
• Shortening curves on surfaces
• A Whitehead algorithm for surface groups
• Curves von 2-manifolds and isotopies
• A "Tits-Alternative" for Subgroups of Surface Mapping Class Groups
• Braid groups are linear
• The braid group \(B_4\) is linear
• The mapping class group of a genus two surface is linear