### Abstract

Here we determine the arithmetic data i.e. the totally real number field and the set of ramified places of the defining quaternion algebra, of all those commensurability classes of arithmetic Fuchsian groups which contain a surface group of genus 2, i.e. a group of signature (2;– –).

Original language | English |
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Pages (from-to) | 117-133 |

Number of pages | 17 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 148 |

Issue number | 1 |

Early online date | 28 Sep 2009 |

DOIs | |

Publication status | Published - Jan 2010 |

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## Cite this

MacLachlan, C., & Rosenberger, G. (2010). Commensurability classes of arithmetic Fuchsian surface groups of genus 2.

*Mathematical Proceedings of the Cambridge Philosophical Society*,*148*(1), 117-133. https://doi.org/10.1017/S0305004109990260