Algebraic K-theory of Crystallographic Groups: The by Daniel Scott Farley,Ivonne Johanna Ortiz PDF

By Daniel Scott Farley,Ivonne Johanna Ortiz

The Farrell-Jones isomorphism conjecture in algebraic K-theory bargains an outline of the algebraic K-theory of a gaggle utilizing a generalized homology idea. In instances the place the conjecture is understood to be a theorem, it supplies a strong technique for computing the decrease algebraic K-theory of a gaggle. This booklet includes a computation of the reduce algebraic K-theory of the break up 3-dimensional crystallographic teams, a geometrically very important type of third-dimensional crystallographic workforce, representing a 3rd of the whole quantity. The e-book leads the reader via all features of the calculation. the 1st chapters describe the cut up crystallographic teams and their classifying areas. Later chapters gather the thoughts which are had to observe the isomorphism theorem. the result's an invaluable start line for researchers who're attracted to the computational part of the Farrell-Jones isomorphism conjecture, and a contribution to the becoming literature within the field.

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Algebraic K-theory of Crystallographic Groups: The Three-Dimensional Splitting Case (Lecture Notes in Mathematics) by Daniel Scott Farley,Ivonne Johanna Ortiz

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