K-Theory of Finite Groups and Orders
Author: Richard G. Swan
Publisher: Springer
Published: 2006-11-15
Total Pages: 242
ISBN-13: 3540363122
DOWNLOAD EBOOKRead and Download eBook Full
Author: Richard G. Swan
Publisher: Springer
Published: 2006-11-15
Total Pages: 242
ISBN-13: 3540363122
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1968
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Robert Ray Bruner
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 328
ISBN-13: 0821851896
DOWNLOAD EBOOKFocusing on the study of real connective $K$-theory including $ko^*(BG)$ as a ring and $ko_*(BG)$ as a module over it, the authors define equivariant versions of connective $KO$-theory and connective $K$-theory with reality, in the sense of Atiyah, which give well-behaved, Noetherian, uncompleted versions of the theory.
Author: Robert Ray Bruner
Publisher: American Mathematical Soc.
Published: 2003
Total Pages: 144
ISBN-13: 0821833669
DOWNLOAD EBOOKIncludes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group
Author: Aderemi Kuku
Publisher: CRC Press
Published: 2016-04-19
Total Pages: 442
ISBN-13: 142001112X
DOWNLOAD EBOOKRepresentation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations. Thus, this book makes computations of higher K-theory of grou
Author: Richard G. Swan
Publisher:
Published: 1970
Total Pages: 237
ISBN-13:
DOWNLOAD EBOOKAuthor: William Burnside
Publisher:
Published: 1897
Total Pages: 420
ISBN-13:
DOWNLOAD EBOOKAuthor: R. G. Swan
Publisher:
Published: 1970
Total Pages: 237
ISBN-13:
DOWNLOAD EBOOKAuthor: John Guaschi
Publisher: Springer
Published: 2018-11-03
Total Pages: 88
ISBN-13: 3319994891
DOWNLOAD EBOOKThis 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: Charles A. Weibel
Publisher: American Mathematical Soc.
Published: 2013-06-13
Total Pages: 634
ISBN-13: 0821891324
DOWNLOAD EBOOKInformally, $K$-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