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K-Theory of Solvable Groups

  • F. Thomas Farrell (a1) and Peter A. Linnell (a2)

Abstract

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.

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The first author was supported in part by the National Science Foundation.

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Keywords

K-Theory of Solvable Groups

  • F. Thomas Farrell (a1) and Peter A. Linnell (a2)

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