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

April 21, 2018 | Group Theory | By admin | 0 Comments

By Daniel Scott Farley,Ivonne Johanna Ortiz

ISBN-10: 3319081527

ISBN-13: 9783319081526

The Farrell-Jones isomorphism conjecture in algebraic K-theory deals an outline of the algebraic K-theory of a bunch utilizing a generalized homology conception. In situations the place the conjecture is understood to be a theorem, it provides a robust procedure for computing the decrease algebraic K-theory of a gaggle. This e-book includes a computation of the reduce algebraic K-theory of the cut up third-dimensional crystallographic teams, a geometrically very important type of third-dimensional crystallographic crew, representing a 3rd of the entire quantity. The booklet leads the reader via all elements of the calculation. the 1st chapters describe the cut up crystallographic teams and their classifying areas. Later chapters gather the strategies which are had to practice the isomorphism theorem. the result's an invaluable place to begin for researchers who're drawn to the computational facet of the Farrell-Jones isomorphism conjecture, and a contribution to the transforming into 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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