On generators of arithmetic groups over function fields

Research output: Contribution to journalArticle

Abstract

Let F = q(T) be the field of rational functions with q-coefficients, and A = q[T] be the subring of polynomials. Let D be a division quaternion algebra over F which is split at 1/T. For certain A-orders in D we find explicit finite sets generating their groups of units.

Original languageEnglish (US)
Pages (from-to)1573-1587
Number of pages15
JournalInternational Journal of Number Theory
Volume7
Issue number6
DOIs
StatePublished - Sep 1 2011

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Arithmetic Groups
Quaternion Algebra
Group of Units
Division Algebra
Subring
Function Fields
Rational function
Finite Set
Generator
Polynomial
Coefficient

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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title = "On generators of arithmetic groups over function fields",
abstract = "Let F = q(T) be the field of rational functions with q-coefficients, and A = q[T] be the subring of polynomials. Let D be a division quaternion algebra over F which is split at 1/T. For certain A-orders in D we find explicit finite sets generating their groups of units.",
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On generators of arithmetic groups over function fields. / Papikian, Mihran.

In: International Journal of Number Theory, Vol. 7, No. 6, 01.09.2011, p. 1573-1587.

Research output: Contribution to journalArticle

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