Comptes Rendus
no. 10
Topology
The hyperelliptic mapping class group of a nonorientable surface of genus g ≥ 4 has a faithful representation into GL(g2−1,R)

Presented by: the Editorial Board

Michał Stukow1
1 Institute of Mathematics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk, 80-308 Gdańsk, Poland
Comptes Rendus. Mathématique, Volume 354 (2016) no. 10, pp. 1029-1031.

We prove that the hyperelliptic mapping class group of a nonorientable surface of genus g≥4 has a faithful linear representation of dimension g2−1 over R.

Nous démontrons que le groupe modulaire hyperelliptique d'une surface non orientable de genre g≥4 a une représentation fidèle linéaire de dimension g2−1 sur R.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2016.07.015

Michał Stukow 1

1 Institute of Mathematics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk, 80-308 Gdańsk, Poland 
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Michał Stukow. The hyperelliptic mapping class group of a nonorientable surface of genus g ≥ 4 has a faithful representation into $ \mathrm{GL}({g}^{2}-1,\mathbb{R})$. Comptes Rendus. Mathématique, Volume 354 (2016) no. 10, pp. 1029-1031. doi : 10.1016/j.crma.2016.07.015. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.07.015/

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