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Finite presentations for the mapping class group via the ordered complex of curves
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January 23, 2006
We describe an algorithm to compute finite presentations for the mapping class group of a connected, compact, orientable surface, possibly with boundary and punctures. By an inductive process, such an algorithm, starting from a presentation well known for the mapping class group of the sphere and the torus with ``few'' boundary components and/or punctures, produces a presentation for the mapping class group of any other surface.
Published Online: 2006-01-23
Published in Print: 2001-08-16
Copyright © 2001 by Walter de Gruyter GmbH & Co. KG
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Articles in the same Issue
- Near hexagons with four points on a line
- SPG systems and semipartial geometries
- On threefolds admitting a bielliptic curve as abstract complete intersection
- The modularity of the Barth--Nieto quintic and its relatives
- Finite presentations for the mapping class group via the ordered complex of curves
Articles in the same Issue
- Near hexagons with four points on a line
- SPG systems and semipartial geometries
- On threefolds admitting a bielliptic curve as abstract complete intersection
- The modularity of the Barth--Nieto quintic and its relatives
- Finite presentations for the mapping class group via the ordered complex of curves
