The Farrell–Jones conjecture forS-arithmetic groups
Copyright policy )The Farrell–Jones conjecture forS-arithmetic groups
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.
40 pages, 3 figures
\(L\)-theory of group rings, long covers, logarithmic volume, \(K_1\) of group rings and orders, K-Theory and Homology (math.KT), Group Theory (math.GR), Farrell-Jones conjecture, 18F25, 19A31, 19B28, 19G24, Mathematics - K-Theory and Homology, \(K_0\) of group rings and orders, FOS: Mathematics, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), S-arithmetic groups, Mathematics - Group Theory
\(L\)-theory of group rings, long covers, logarithmic volume, \(K_1\) of group rings and orders, K-Theory and Homology (math.KT), Group Theory (math.GR), Farrell-Jones conjecture, 18F25, 19A31, 19B28, 19G24, Mathematics - K-Theory and Homology, \(K_0\) of group rings and orders, FOS: Mathematics, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), S-arithmetic groups, Mathematics - Group Theory
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