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19g24 (secondary)

Proceedings of the London Mathematical Society (1)

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K-Theory of Solvable Groups
F. Thomas Farrell, Peter A. Linnell
Journal:

Proceedings of the London Mathematical Society / Volume 87 / Issue 2 / September 2003

Published online by Cambridge University Press:

01 October 2003, pp. 309-336

Print publication:

September 2003
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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.