JournalslemVol. 57, No. 1/2pp. 155–163

The stable rank of arithmetic orders in division algebras – an elementary approach

  • Joachim Schwermer

    Universität Wien, Austria
  • Ognjen Vukadin

    Universität Wien, Austria
The stable rank of arithmetic orders in division algebras – an elementary approach cover
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Abstract

A well-known theorem of Bass implies that 22 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.

Cite this article

Joachim Schwermer, Ognjen Vukadin, The stable rank of arithmetic orders in division algebras – an elementary approach. Enseign. Math. 57 (2011), no. 1/2, pp. 155–163

DOI 10.4171/LEM/57-1-7