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Algebraic K-theory of Crystallographic Groups [[electronic resource] ] : The Three-Dimensional Splitting Case / / by Daniel Scott Farley, Ivonne Johanna Ortiz



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Autore: Farley Daniel Scott Visualizza persona
Titolo: Algebraic K-theory of Crystallographic Groups [[electronic resource] ] : The Three-Dimensional Splitting Case / / by Daniel Scott Farley, Ivonne Johanna Ortiz Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Edizione: 1st ed. 2014.
Descrizione fisica: 1 online resource (X, 148 p.)
Disciplina: 512.55
Soggetto topico: K-theory
Group theory
Manifolds (Mathematics)
Complex manifolds
K-Theory
Group Theory and Generalizations
Manifolds and Cell Complexes (incl. Diff.Topology)
Persona (resp. second.): OrtizIvonne Johanna
Note generali: Bibliographic Level Mode of Issuance: Monograph
Sommario/riassunto: The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives a powerful method for computing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class of three-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifying spaces. Later chapters assemble the techniques that are needed to apply the isomorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphism conjecture, and a contribution to the growing literature in the field.
Titolo autorizzato: Algebraic K-theory of Crystallographic Groups  Visualizza cluster
ISBN: 3-319-08153-5
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996202532503316
Lo trovi qui: Univ. di Salerno
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2113