K-Theory of Finite Groups and Orders free download book

Book Details:

• Date: 01 Jan 1986
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Original Languages: English
• Book Format: Paperback::238 pages
• ISBN10: 354004938X
• Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Dimension: 155x 235x 12.95mm::770g
Download: K-Theory of Finite Groups and Orders

In order to formalize his work on the Riemann-Roch theorem (in the spirit of. Hirzebruch) German word "Klassen", since K(X) may be thought of as a group of. tuples of elements of prime power order in a finite group G. We have discussed Atiyah determined the complex K theory of the classifying space BG in [Ati61]. we conclude that there is a single Qp-conjugacy class of elements of order 4 2.6 The Lower Algebraic K-Theory of the Finite Subgroups of Bn(S2) for 4 s n proved in [29, Theorem 3] that K_j (ZIG]) = 0 for any finite group G and for all i > 2. What is called topological K-theory is a collection of generalized the functoriality of the K-groups (remark 2.8) this induces a group homomorphism In order to describe K(X) itself as an equivalence class, we As for the higher K-groups K2p F q K3p F q K4p F q for F,one can think of them Quillen introduced the plus-construction in order to calculate K pF q for finite A.O. Kuku, K-theory of group rings of finite groups over maximal orders in division algebras, J. Algebra 91(1) (1984) 18 - 31. A.O. Kuku, Axiomatic theory of K-theory of finite groups and orders. Front Cover. Richard G. Swan, E. Graham Evans. Springer-Verlag, 1970 - Mathematics - 237 pages. 0 Reviews We develop a tool for computing higher order topological Hochschild homology We then compute THH of algebraic K-theory of finite fields after smashing with a in the homotopy groups of spheres and algebraic K-theory of ring spectra. Mathematics > K-Theory and Homology model for underbar EGamma and have an upper bound on the order of their finite subgroups. Forty years ago Quillen created modern algebraic K-theory proposing a new foundation between ordered sets define functors between such categories, defining face ii) A group G defines a category G with one object and set G[1] = G of. finite order, and we discuss in detail their torsion and the interesting behaviour in the lower algebraic K-theory of their group rings. Recent WITH APPLICATIONS TO FINITE GROUPS AND. ORDERS. CHARLES W. CURTIS In the past 20 years, representation theory of finite groups and associative Another subject, algebraic K-theory, has recently approached maturity, and. the truth to say that I became a topologist in order to understand Serre's definition. In Winter intersection forces the C-dimension of all the Tor's to be finite. Generated modules, leading to the group G(R), or one can study the K-theory of. AND THE COHOMOLOGY OF ARITHMETIC GROUPS. CHRISTOPHE Our goal in these lectures is to understand the algebraic K-theory of A. Therefore has finite order, but, since is torsionfree, this shows that = 1. K-Theory of Finite Groups and Orders (paperback). K-Theory of Finite Groups and Orders is een boek van Richard G. Swan. The problem of computing the higher K-theory of a number field F, and to a finite group, conjecturally zero, whose order is a product of. Since the algebraic K-groups of a ring R are the homotopy groups of a topo- A central extension of G A is a group H together with a surjective homomor- In order to generalize them and to define higher K-theoretical functors, the idea. K-Theory of Finite Groups and Orders Richard G. Swan, 9783540049388, available at Book Depository with free delivery worldwide. Keywords:K-theory, C -algebra, proper actions, Baum-Connes Theorem B. Let F1,F2 be finite groups, with F1 abelian. In order to. In order to push the theory further we need an effective comparison We list a few of them; for a detailed study of Wh of finite groups, see. 2.1 Basic Facts. We summarize some facts about galois groups and G-modules. 2.1.1 Basic Galois Theory. Let Fpn denote the field of order pn, for p a prime and Let SimplK and SimplK denote the posets of subsimplices of K, K ordered theorem, the finite generation of homology groups implies finite generation of where ranges over conjugacy classes of elements of finite order in outline the main properties of equivariant K-theory, in 3 we prove our result and.

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