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arxiv: math/0207138 · v1 · pith:RHMMA6X2new · submitted 2002-07-17 · 🧮 math.KT

K-theory of Solvable Groups

classification 🧮 math.KT
keywords groupssolvablevirtuallygroupproveamenableanalogueclass
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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 Q-linear groups. Finally we prove an L-theory analogue for elementary amenable groups.

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