Commensurability classes of arithmetic Fuchsian surface groups of genus 2

Colin MacLachlan, Gerhard Rosenberger

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)117-133
Number of pages17
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume148
Issue number1
Early online date28 Sep 2009
DOIs
Publication statusPublished - Jan 2010

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Genus
Arithmetic Groups
Fuchsian Group
Quaternion Algebra
Number field
Signature
Class

Cite this

Commensurability classes of arithmetic Fuchsian surface groups of genus 2. / MacLachlan, Colin; Rosenberger, Gerhard .

In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 148, No. 1, 01.2010, p. 117-133.

Research output: Contribution to journalArticle

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