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Abstract

Given a group G, the \(K\)-theoretic fibred isomorphism conjecture of F. T. Farrell and L. E. Jones asserts that the algebraic \(K\)-theory of its integral group ring \(\mathbb Z[G]\) may be computed from the knowledge of the algebraic \(K\)-theory groups of its virtually cyclic subgroups (see or Appendix A for the statement).

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Guaschi, J., Juan-Pineda, D., Millán López, S. (2018). Introduction. In: The Lower Algebraic K-Theory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2) . SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-99489-5_1

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