Download E-books Algebraic K-theory of Crystallographic Groups: The Three-Dimensional Splitting Case (Lecture Notes in Mathematics) PDF

By Daniel Scott Farley, Ivonne Johanna Ortiz

The Farrell-Jones isomorphism conjecture in algebraic K-theory deals an outline of the algebraic K-theory of a gaggle utilizing a generalized homology thought. In situations the place the conjecture is understood to be a theorem, it offers a strong strategy for computing the decrease algebraic K-theory of a bunch. This booklet incorporates a computation of the decrease algebraic K-theory of the break up 3-dimensional crystallographic teams, a geometrically very important type of 3-dimensional crystallographic staff, representing a 3rd of the full quantity. The booklet 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 suggestions which are had to follow 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 growing to be literature within the box.

Show description

Read Online or Download Algebraic K-theory of Crystallographic Groups: The Three-Dimensional Splitting Case (Lecture Notes in Mathematics) PDF

Best Abstract books

A Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic

A Concrete method of summary Algebra begins with a concrete and thorough exam of ordinary gadgets like integers, rational numbers, actual numbers, complicated numbers, advanced conjugation and polynomials, during this special approach, the writer builds upon those familar items after which makes use of them to introduce and inspire complicated innovations in algebra in a fashion that's more uncomplicated to appreciate for many scholars.

An Introductory Course in Commutative Algebra (Oxford Science Publications)

The authors supply a concise creation to themes in commutative algebra, with an emphasis on labored examples and functions. Their therapy combines based algebraic thought with purposes to quantity idea, difficulties in classical Greek geometry, and the idea of finite fields, which has very important makes use of in different branches of technology.

Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics) (v. 9)

This publication is designed to introduce the reader to the speculation of semisimple Lie algebras over an algebraically closed box of attribute zero, with emphasis on representations. a superb wisdom of linear algebra (including eigenvalues, bilinear kinds, euclidean areas, and tensor items of vector areas) is presupposed, in addition to a few acquaintance with the equipment of summary algebra.

An Introduction to the Theory of Groups (Graduate Texts in Mathematics)

A person who has studied summary algebra and linear algebra as an undergraduate can comprehend this e-book. the 1st six chapters offer fabric for a primary path, whereas the remainder of the e-book covers extra complicated subject matters. This revised version keeps the readability of presentation that was once the hallmark of the former variations.

Additional resources for Algebraic K-theory of Crystallographic Groups: The Three-Dimensional Splitting Case (Lecture Notes in Mathematics)

Show sample text content

Rated 4.26 of 5 – based on 42 votes