Beschreibung:
Researchers and graduate students working in K-theory and surface braid groups will constitute the primary audience of the manuscript, particularly those interested in the Fibred Isomorphism Conjecture, and the computation of Nil groups and the lower algebraic K-groups of group rings. The manuscript will also provide a useful resource to researchers who wish to learn the techniques needed to calculate lower algebraic K-groups, and the bibliography brings together a large number of references in this respect.
Introduction.- Lower algebraic K-theory of the finite subgroups of Bn(S²).- The braid group B4(S²) and the conjugacy classes of its maximal virtually cyclic subgroups.- Lower algebraic K-theory groups of the group ring Z[B4(S²)].- Appendix A: The fibred isomorphism conjecture.- Appendix B: Braid groups.- References.