A finite presentation for the hyperelliptic mapping class group of a nonorientable surface

zbMath1320.57023arXiv1402.3905MaRDI QIDQ2348676

Michał Stukow

Publication date: 15 June 2015

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3905

zbMATH Keywords

mapping class groupnonorientable surfacehyperelliptic involutionfinite presentation

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Other groups related to topology or analysis (20F38)

Related Items (3)

The hyperelliptic mapping class group of a nonorientable surface of genus \(g\geq 4\) has a faithful representation into \(\operatorname{GL}(g^2 - 1, \mathbb{R})\) ⋮ The first homology group with twisted coefficients for the mapping class group of a non-orientable surface of genus three with two boundary components ⋮ Roots of crosscap slides and crosscap transpositions

Cites Work

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• Homeomorphisms and the homology of non-orientable surfaces
• The first homology group of the hyperelliptic mapping class group with twisted coefficients
• The mapping class group of a genus two surface is linear

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