Geometry of the mapping class group II: A biautomatic structure
Ursula Hamenstaedt
TL;DR
This paper demonstrates that the mapping class group of a non-exceptional finite type surface possesses a biautomatic structure, providing insights into its geometric and algebraic properties.
Contribution
It establishes the existence of a biautomatic structure for the mapping class group of certain surfaces, advancing understanding of its geometric group theory.
Findings
Mapping class group admits a biautomatic structure
Provides a new geometric perspective on the group
Enhances tools for studying surface homeomorphisms
Abstract
The mapping class group of a non-exceptional oriented surface of finite type admits a biautomatic structure.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Algebraic Geometry and Number Theory