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The stable rank of arithmetic orders in division algebras – an elementary approach
2011
L'Enseignement mathématique
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A well-known theorem of Bass implies that 2 defines a stable range for an arithmetic order in a finite-dimensional semisimple algebra over an algebraic number field. The purpose of this note is to provide an independent and elementary proof of this fact for arithmetic orders contained in a finite-dimensional division algebra over an algebraic number field.
doi:10.4171/lem/57-1-7
fatcat:ow4rlwznzrbifjwolrsmhoemgq