The Lower Algebraic K Theory Of Virtually Cyclic Subgroups Of The Braid Groups Of The Sphere And Of Zb4 S2
DOWNLOAD
Download The Lower Algebraic K Theory Of Virtually Cyclic Subgroups Of The Braid Groups Of The Sphere And Of Zb4 S2 PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Lower Algebraic K Theory Of Virtually Cyclic Subgroups Of The Braid Groups Of The Sphere And Of Zb4 S2 book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Lower Algebraic K Theory Of Virtually Cyclic Subgroups Of The Braid Groups Of The Sphere And Of Zb4 S2
DOWNLOAD
Author : John Guaschi
language : en
Publisher: Springer
Release Date : 2018-11-03
The Lower Algebraic K Theory Of Virtually Cyclic Subgroups Of The Braid Groups Of The Sphere And Of Zb4 S2 written by John Guaschi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Mathematics categories.
This volume deals with the K-theoretical aspects of the group rings of braid groups of the 2-sphere. The lower algebraic K-theory of the finite subgroups of these groups up to eleven strings is computed using a wide variety of tools. Many of the techniques extend to the general case, and the results reveal new K-theoretical phenomena with respect to the previous study of other families of groups. The second part of the manuscript focusses on the case of the 4-string braid group of the 2-sphere, which is shown to be hyperbolic in the sense of Gromov. This permits the computation of the infinite maximal virtually cyclic subgroups of this group and their conjugacy classes, and applying the fact that this group satisfies the Fibred Isomorphism Conjecture of Farrell and Jones, leads to an explicit calculation of its lower K-theory. Researchers and graduate students working in K-theory and surface braid groups will constitute the primary audience of the manuscript, particularly those interested in the Fibred Isomorphism Conjecture, and the computation of Nil groups and the lower algebraic K-groups of group rings. The manuscript will also provide a useful resource to researchers who wish to learn the techniques needed to calculate lower algebraic K-groups, and the bibliography brings together a large number of references in this respect.
The Classification Of The Virtually Cyclic Subgroups Of The Sphere Braid Groups
DOWNLOAD
Author : Daciberg Lima Goncalves
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-08
The Classification Of The Virtually Cyclic Subgroups Of The Sphere Braid Groups written by Daciberg Lima Goncalves and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-08 with Mathematics categories.
This manuscript is devoted to classifying the isomorphism classes of the virtually cyclic subgroups of the braid groups of the 2-sphere. As well as enabling us to understand better the global structure of these groups, it marks an important step in the computation of the K-theory of their group rings. The classification itself is somewhat intricate, due to the rich structure of the finite subgroups of these braid groups, and is achieved by an in-depth analysis of their group-theoretical and topological properties, such as their centralisers, normalisers and cohomological periodicity. Another important aspect of our work is the close relationship of the braid groups with mapping class groups. This manuscript will serve as a reference for the study of braid groups of low-genus surfaces, and isaddressed to graduate students and researchers in low-dimensional, geometric and algebraic topology and in algebra.
Algebraic K Theory Of Crystallographic Groups
DOWNLOAD
Author : Daniel Scott Farley
language : en
Publisher: Springer
Release Date : 2014-08-27
Algebraic K Theory Of Crystallographic Groups written by Daniel Scott Farley and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-27 with Mathematics categories.
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.
The Whitehead Group And The Lower Algebraic K Theory Of Braid Groups On S2 And Rp2
DOWNLOAD
Author : Silvia Millan-Vossler
language : en
Publisher: ProQuest
Release Date : 2008
The Whitehead Group And The Lower Algebraic K Theory Of Braid Groups On S2 And Rp2 written by Silvia Millan-Vossler and has been published by ProQuest this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Braid theory categories.
Algebraic K Theory And Its Applications
DOWNLOAD
Author : Jonathan Rosenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algebraic K Theory And Its Applications written by Jonathan Rosenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability. This book, based on a course at the University of Maryland in the fall of 1990, is intended to enable graduate students or mathematicians working in other areas not only to learn the basics of algebraic K-Theory, but also to get a feel for its many applications. The required prerequisites are only the standard one-year graduate algebra course and the standard introductory graduate course on algebraic and geometric topology. Many topics from algebraic topology, homological algebra, and algebraic number theory are developed as needed. The final chapter gives a concise introduction to cyclic homology and its interrelationship with K-Theory.
Algebraic K Theory And Its Applications Proceedings Of The School
DOWNLOAD
Author : Hyman Bass
language : en
Publisher: World Scientific
Release Date : 1999-03-12
Algebraic K Theory And Its Applications Proceedings Of The School written by Hyman Bass and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-12 with categories.
The Proceedings volume is divided into two parts. The first part consists of lectures given during the first two weeks devoted to a workshop featuring state-of-the-art expositions on 'Overview of Algebraic K-theory' including various constructions, examples, and illustrations from algebra, number theory, algebraic topology, and algebraic/differential geometry; as well as on more concentrated topics involving connections of K-theory with Galois, etale, cyclic, and motivic (co)homologies; values of zeta functions, and Arithmetics of Chow groups and zero cycles. The second part consists of research papers arising from the symposium lectures in the third week.
Algebraic K Theory
DOWNLOAD
Author : Vasudevan Srinivas
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Algebraic K Theory written by Vasudevan Srinivas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Social Science categories.
Algebraic K Theory
DOWNLOAD
Author : Richard G. Swan
language : en
Publisher: Springer
Release Date : 2006-11-14
Algebraic K Theory written by Richard G. Swan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. The results on K-theory are mostly of a very general nature."
Introduction To Some Methods Of Algebraic K Theory
DOWNLOAD
Author : Hyman Bass
language : en
Publisher: American Mathematical Soc.
Release Date : 1974-12-31
Introduction To Some Methods Of Algebraic K Theory written by Hyman Bass and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-12-31 with Mathematics categories.
Transformation Groups And Algebraic K Theory
DOWNLOAD
Author : Wolfgang Luck
language : en
Publisher:
Release Date : 2014-09-01
Transformation Groups And Algebraic K Theory written by Wolfgang Luck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.