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arxiv: 1309.7236 · v1 · pith:VMRKX5UDnew · submitted 2013-09-27 · 🧮 math.KT · math.GR

The Farrell-Jones conjecture for S-arithmetic groups

classification 🧮 math.KT math.GR
keywords conjecturegroupsfarrell-joness-arithmeticcontainsespeciallyfieldfinite
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This paper contains the results of my PhD-thesis. I will show the K- and L-theoretic Farrell-Jones conjecture (FJC) for the general linear groups over the rationals and over the rational functions over a finite field. This especially implies the conjecture for all S-arithmetic groups.

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