Algebraic K-theory of groups wreath product with finite groups

Mathematics – K-Theory and Homology

Scientific paper

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14 pages, AMSLATEX file, final version with some minor corrections. accepted for publication in Topology and its Applications

Scientific paper

10.1016/j.topol.2007.01.019

The Farrell-Jones Fibered Isomorphism Conjecture for the stable topological pseudoisotopy theory has been proved for several classes of groups. For example for discrete subgroups of Lie groups, virtually poly-infinite cyclic groups, Artin braid groups, a class of virtually poly-surface groups and virtually solvable linear group. We extend these results in the sense that if G is a group from the above classes then we prove the conjecture for the wreath product G with H for H a finite group. We also prove the conjecture for some other classes of groups.

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