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

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 bunch utilizing a generalized homology concept. In circumstances the place the conjecture is understood to be a theorem, it supplies a robust strategy for computing the reduce algebraic K-theory of a bunch. This e-book features a computation of the reduce algebraic K-theory of the break up 3-dimensional crystallographic teams, a geometrically vital type of three-d crystallographic staff, representing a 3rd of the whole quantity. The ebook leads the reader via all elements of the calculation. the 1st chapters describe the break up crystallographic teams and their classifying areas. Later chapters gather the ideas which are had to observe the isomorphism theorem. the result's an invaluable start line for researchers who're drawn to the computational part of the Farrell-Jones isomorphism conjecture, and a contribution to the turning out to be literature within the field.

Show description

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

Similar group theory books

Finite Reflection Groups (Graduate Texts in Mathematics)

Bankruptcy 1 introduces the various terminology and notation used later and exhibits must haves. bankruptcy 2 offers a pretty thorough account of all finite subgroups of the orthogonal teams in and 3 dimensions. The presentation is a bit of much less formal than in succeeding chapters. for example, the life of the icosahedron is accredited as an empirical truth, and no formal facts of life is incorporated.

A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences: With Complete Bibliography

This quantity provides a quick advisor to the broad literature pertaining to semir­ ings in addition to an entire bibliography. The literature has been created over a long time, in number of languages, via authors representing various faculties of arithmetic and dealing in a number of similar fields. often the terminology used isn't common, which extra compounds the trouble of finding pertinent assets even during this age of the web and digital dis­ semination of analysis effects.

Hypercomplex Analysis: New Perspectives and Applications (Trends in Mathematics)

Hypercomplex research is the extension of advanced research to raised dimensions the place the concept that of a holomorphic functionality is substituted by way of the idea that of a monogenic functionality. In fresh many years this thought has come to the leading edge of upper dimensional research. There are numerous methods to this: quaternionic research which basically makes use of quaternions, Clifford research which is determined by Clifford algebras, and generalizations of advanced variables to better dimensions corresponding to split-complex variables.

Fundamentals of Modern Algebra:A Global Perspective

The aim of this booklet is to supply a concise but designated account of basic innovations in smooth algebra. the objective viewers for this ebook is first-year graduate scholars in arithmetic, notwithstanding the 1st chapters are most likely available to well-prepared undergraduates. The publication covers a wide variety of themes in glossy algebra and contains chapters on teams, earrings, modules, algebraic extension fields, and finite fields.

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

Sample text

Download PDF sample

Rated 4.97 of 5 – based on 50 votes