Commensurability classes of arithmetic Fuchsian surface groups of genus 2

Colin MacLachlan; Gerhard  Rosenberger

doi:10.1017/S0305004109990260

Commensurability classes of arithmetic Fuchsian surface groups of genus 2

Colin MacLachlan, Gerhard Rosenberger

Mathematical Science

University of Hamburg

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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
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 Sept 2009
DOIs	https://doi.org/10.1017/S0305004109990260
Publication status	Published - Jan 2010

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title = "Commensurability classes of arithmetic Fuchsian surface groups of genus 2",

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;– –).",

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AB - 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;– –).

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DO - 10.1017/S0305004109990260

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JO - Mathematical Proceedings of the Cambridge Philosophical Society

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Commensurability classes of arithmetic Fuchsian surface groups of genus 2

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