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.
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:
Download or read book Algebraic K Theory written by Wayne Raskind and published by American Mathematical Soc.. This book was released on 1999 with total page 330 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 an up-to-date account of Voevodsky's proof of the Milnor conjecture relating the Milnor K-theory of fields to Galois cohomology. The book is intended for graduate students and research mathematicians interested in $K$-theory, algebraic geometry, and number theory.
Download or read book The K book written by Charles A. Weibel and published by American Mathematical Soc.. This book was released on 2013-06-13 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr
Download or read book Algebraic K Theory Proceedings of a Conference Held at Oberwolfach June 1980 written by R. Keith Dennis and published by Springer. This book was released on 2006-11-15 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic K Theory Evanston 1980 written by Eric Friedlander and published by Springer. This book was released on 2006-11-15 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic K theory written by and published by American Mathematical Soc.. This book was released on 1991 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Cohomology of Groups and Algebraic K theory written by Lizhen Ji and published by International Press of Boston. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cohomology of Groups and Algebraic K-theory --
Download or read book Algebraic K theory written by V. Srinivas and published by Birkhauser. This book was released on 1991 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic K theory written by R. Keith Dennis and published by Springer. This book was released on 1982 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic K Theory written by Michael R. Stein and published by Lecture Notes in Mathematics. This book was released on 1976-11 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic K theory and Its Applications written by Hyman Bass and published by World Scientific Publishing Company Incorporated. This book was released on 1999 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume is divided into two parts. The first part consists of the lectures given during the first two weeks of the School on "Overview of Algebraic K-Theory", including various constructions, examples and illustrations from algebra, number theory, algebraic topology and algebraic geometry; more concentrated topics on "K-theory and cyclic/Maclane (co)homology", K-theory and motivic (co)homology; Chow groups and algebraic cycles; K-theory and values of zeta functions. The second part consists of research papers arising from the lectures during the third week of the School.
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 212 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.
Download or read book Algebraic K Theory II Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute August 28 September 8 1972 written by Hyman Bass and published by Lecture Notes in Mathematics. This book was released on 1973-12-31 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Approach to Algebraic K theory written by A. Jon Berrick and published by . This book was released on 1982 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Algebraic K Theory written by John W. Milnor and published by . This book was released on 1971-01-01 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
