K-Theory of Solvable Groups

• Autores: F. Thomas Farrell, Peter A. Linnell
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 87, Nº 2, 2003, págs. 309-336
• Idioma: inglés
• DOI: 10.1112/s0024611503014072
• Texto completo no disponible (Saber más ...)
• Resumen

  • We first prove that the Whitehead group of a torsion-free virtually solvable linear group vanishes. Next we make a reduction of the fibered isomorphism conjecture from virtually solvable groups to a class of virtually solvable $\mathbb {Q}$-linear groups. Finally we prove an L-theory analogue for elementary amenable groups.