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The Whitehead Group And The Lower Algebraic K Theory Of Braid Groups On S2 And Rp2
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Book Synopsis The Whitehead Group and the Lower Algebraic K-theory of Braid Groups on S2 and RP2 by : Silvia Millan-Vossler
Download or read book The Whitehead Group and the Lower Algebraic K-theory of Braid Groups on S2 and RP2 written by Silvia Millan-Vossler and published by ProQuest. This book was released on 2008 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Lower Algebraic K-Theory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2) by : John Guaschi
Download or read book 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 published by Springer. This book was released on 2018-11-03 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :Daciberg Lima Goncalves Publisher :Springer Science & Business Media ISBN 13 :3319002570 Total Pages :102 pages Book Rating :4.3/5 (19 download)
Book Synopsis The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups by : Daciberg Lima Goncalves
Download or read book The Classification of the Virtually Cyclic Subgroups of the Sphere Braid Groups written by Daciberg Lima Goncalves and published by Springer Science & Business Media. This book was released on 2013-09-08 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Topology and Geometric Group Theory by : Michael W. Davis
Download or read book Topology and Geometric Group Theory written by Michael W. Davis and published by Springer. This book was released on 2016-09-14 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell–Jones conjectures, and the other on ends of spaces and groups. In 2010–2011, Ohio State University (OSU) hosted a special year in topology and geometric group theory. Over the course of the year, there were seminars, workshops, short weekend conferences, and a major conference out of which this book resulted. Four other research articles complement these surveys, making this book ideal for graduate students and established mathematicians interested in entering this area of research.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2008 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic K-theory by : Wayne Raskind
Download or read book Algebraic K-theory written by Wayne Raskind and published by American Mathematical Soc.. This book was released on 1999-01-01 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the Joint Summer Research Conference on Algebraic K-theory held at the University of Washington in Seattle. High-quality surveys are written by leading experts in the field. Included is the most up-to-date published account of Voevodsky's proof of the Milnor conjecture relating the Milnor K-theory of fields to Galois cohomology. This book offers a comprehensive source for cutting-edge research on the topic.
Book Synopsis Whitehead Groups of Finite Groups by : Robert Oliver
Download or read book Whitehead Groups of Finite Groups written by Robert Oliver and published by Cambridge University Press. This book was released on 1988-02-25 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book's aim is to make accessible techniques for studying Whitehead groups of finite groups, as well as a variety of related topics such as induction theory and p-adic logarithms. The author has included a lengthy introduction to set the scene for non-specialists who want an overview of the field, its history and its applications. The rest of the book consists of three parts: general theory, group rings of p-groups and general finite groups. The book will be welcomed by specialists in K- and L-theory and by algebraists in general as a state-of-the art survey of the area.
Book Synopsis Cohomology of Groups and Algebraic K-theory by :
Download or read book Cohomology of Groups and Algebraic K-theory written by and published by . This book was released on 2009 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Class Groups and Picard Groups of Group Rings and Orders by : Irving Reiner
Download or read book Class Groups and Picard Groups of Group Rings and Orders written by Irving Reiner and published by American Mathematical Soc.. This book was released on 1976-12-31 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the lectures is to provide an introduction to recent developments in the theory of class groups and Picard groups. The techniques employed come from the three main areas: algebraic number theory, representation theory of algebras and orders, and algebraic $K$-theory.
Book Synopsis Homological Group Theory by : Charles Terence Clegg Wall
Download or read book Homological Group Theory written by Charles Terence Clegg Wall and published by Cambridge University Press. This book was released on 1979-12-27 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eminent mathematicians have presented papers on homological and combinatorial techniques in group theory. The lectures are aimed at presenting in a unified way new developments in the area.
Book Synopsis Algebraic K-theory and Assembly for Complexes of Groups by : Thomas Albert Stiadle
Download or read book Algebraic K-theory and Assembly for Complexes of Groups written by Thomas Albert Stiadle and published by . This book was released on 1996 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis K-theory of Finite Groups and Orders by : Richard G. Swan
Download or read book K-theory of Finite Groups and Orders written by Richard G. Swan and published by Springer. This book was released on 1970 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :American Mathematical Society Publisher :American Mathematical Soc. ISBN 13 :9780821875049 Total Pages :195 pages Book Rating :4.8/5 (75 download)
Book Synopsis Selected Papers in K-theory by : American Mathematical Society
Download or read book Selected Papers in K-theory written by American Mathematical Society and published by American Mathematical Soc.. This book was released on 1992-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers ranging over a number of topics relating to $K$-theory, including algebraic number theory, Grothendieck and Whitehead groups, group representation theory, linear algebraic groups, selfadjoint operator algebras, linear operators, homology and cohomology, and the use of $K$-theory in geometry.
Book Synopsis Homology of Linear Groups by : Kevin Patrick Knudson
Download or read book Homology of Linear Groups written by Kevin Patrick Knudson and published by Birkhauser. This book was released on 2001 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic K-theory written by and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic and Geometric Surgery by : Andrew Ranicki
Download or read book Algebraic and Geometric Surgery written by Andrew Ranicki and published by Oxford University Press. This book was released on 2002 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students, who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains entry-level accounts of the various prerequisites of both algebra and topology, including basic homotopy and homology, Poincare duality, bundles, co-bordism, embeddings, immersions, Whitehead torsion, Poincare complexes, spherical fibrations and quadratic forms and formations. While concentrating on the basic mechanics of surgery, this book includes many worked examples, useful drawings for illustration of the algebra and references for further reading.
Book Synopsis An Approach to Algebraic K-theory by : A. Jon Berrick
Download or read book An Approach to Algebraic K-theory written by A. Jon Berrick and published by Pitman Advanced Publishing Program. This book was released on 1982-01-01 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
