K-theory of Solvable Groups

Details K-theory of Solvable Groups K-theory of Solvable Groups

2002-07-17

arxiv.org/abs/math/0207138v1

Mathematics

K-Theory and Homology

27 pages, Proc. London Math. Soc., to appear

Scientific paper

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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