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K-theory of Solvable Groups

Tom Farrell·Peter Linnell
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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 Q-linear groups. Finally we prove an L-theory analogue for elementary amenable groups.

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Tom Farrell, Peter Linnell. 2002-07-17. K-theory of Solvable Groups. https://arxiv.org/abs/math/0207138

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