The Lower Algebraic K Theory Of Virtually Cyclic Subgroups Of The Braid Groups Of The Sphere And Of Zb4 S2
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The Lower Algebraic K Theory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4 S2
Author | : John Guaschi,Daniel Juan-Pineda,Silvia Millán López |
Publsiher | : Springer |
Total Pages | : 80 |
Release | : 2018-11-03 |
Genre | : Mathematics |
ISBN | : 9783319994895 |
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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 Whitehead Group and the Lower Algebraic K theory of Braid Groups on S2 and RP2
Author | : Silvia Millan-Vossler |
Publsiher | : ProQuest |
Total Pages | : 180 |
Release | : 2008 |
Genre | : Braid theory |
ISBN | : 0549645853 |
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Algebraic K Theory
Author | : Wayne Raskind,Charles A. Weibel |
Publsiher | : American Mathematical Soc. |
Total Pages | : 330 |
Release | : 1999 |
Genre | : K-theory |
ISBN | : 9780821809273 |
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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.
The K book
Author | : Charles A. Weibel |
Publsiher | : American Mathematical Soc. |
Total Pages | : 634 |
Release | : 2013-06-13 |
Genre | : Mathematics |
ISBN | : 9780821891322 |
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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
Algebraic K Theory Proceedings of a Conference Held at Oberwolfach June 1980
Author | : R. Keith Dennis |
Publsiher | : Springer |
Total Pages | : 419 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540395539 |
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Algebraic K Theory Evanston 1980
Author | : Eric Friedlander,M. R. Stein |
Publsiher | : Springer |
Total Pages | : 526 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540386469 |
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Introduction to Some Methods of Algebraic K Theory
Author | : Hyman Bass |
Publsiher | : American Mathematical Soc. |
Total Pages | : 78 |
Release | : 1974-12-31 |
Genre | : Mathematics |
ISBN | : 9780821816707 |
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Cohomology of Groups and Algebraic K theory
Author | : Lizhen Ji,Kefeng Liu,Shing-Tung Yau |
Publsiher | : International Press of Boston |
Total Pages | : 0 |
Release | : 2010 |
Genre | : Cohomology operations |
ISBN | : 1571461442 |
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Cohomology of Groups and Algebraic K-theory --