The Connective K Theory Of Finite Groups PDF Download
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Author | : Robert Ray Bruner |
Publisher | : American Mathematical Soc. |
Total Pages | : 144 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821833669 |
Download The Connective K-Theory of Finite Groups Book in PDF, ePub and Kindle
Includes 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 | : Robert Ray Bruner |
Publisher | : American Mathematical Soc. |
Total Pages | : 328 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0821851896 |
Download Connective Real $K$-Theory of Finite Groups Book in PDF, ePub and Kindle
Focusing 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 | : |
Total Pages | : 144 |
Release | : 2014-09-11 |
Genre | : Finite groups |
ISBN | : 9781470403836 |
Download The Connective K-Theory of Finite Groups Book in PDF, ePub and Kindle
Includes 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 | : Richard G. Swan |
Publisher | : Springer |
Total Pages | : 242 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540363122 |
Download K-Theory of Finite Groups and Orders Book in PDF, ePub and Kindle
Author | : Michael Keogh |
Publisher | : |
Total Pages | : 130 |
Release | : 2018 |
Genre | : Algebraic Number Theory |
ISBN | : |
Download A Relationship Between Connective K-theory of Finite Groups and Number Theory Book in PDF, ePub and Kindle
We study the relationship between Euler classes in connective K-theory of certain metacyclic groups and Eulerian periods living in algebraic number fields. The division of these Euler classes living in connective K-Theory map into a subgroup of the cyclotomic units in the algebraic number fields. With the use of algebraic number theory we further the computations in connective K-theory for certain cases.
Author | : Christian Ausoni |
Publisher | : American Mathematical Soc. |
Total Pages | : 314 |
Release | : 2014-06-09 |
Genre | : Mathematics |
ISBN | : 0821891456 |
Download An Alpine Expedition through Algebraic Topology Book in PDF, ePub and Kindle
This volume contains the proceedings of the Fourth Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, from August 20-25, 2012. The papers in this volume cover topics such as category theory and homological algebra, functor homology, algebraic -theory, cobordism categories, group theory, generalized cohomology theories and multiplicative structures, the theory of iterated loop spaces, Smith-Toda complexes, and topological modular forms.
Author | : Ken'ichi Ōshika |
Publisher | : American Mathematical Soc. |
Total Pages | : 136 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 0821837729 |
Download Kleinian Groups which Are Limits of Geometrically Finite Groups Book in PDF, ePub and Kindle
Ahlfors conjectured in 1964 that the limit set of every finitely generated Kleinian group either has Lebesgue measure $0$ or is the entire $S^2$. This title intends to prove that this conjecture is true for purely loxodromic Kleinian groups which are algebraic limits of geometrically finite groups.
Author | : Richard G. Swan |
Publisher | : |
Total Pages | : 244 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662186657 |
Download K-Theory of Finite Groups and Orders Book in PDF, ePub and Kindle
Author | : Peter B Gilkey |
Publisher | : World Scientific |
Total Pages | : 508 |
Release | : 2018-01-04 |
Genre | : Mathematics |
ISBN | : 9813220805 |
Download Geometry Of Spherical Space Form Groups, The (Second Edition) Book in PDF, ePub and Kindle
This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism. These are used to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group.This volume is a completely rewritten revision of the first edition. The underlying organization is modified to provide a better organized and more coherent treatment of the material involved. In addition, approximately 100 pages have been added to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. We have chosen to focus on the geometric aspect of the theory rather than more abstract algebraic constructions (like the assembly map) and to restrict our attention to spherical space forms rather than more general and more complicated geometrical examples to avoid losing contact with the fundamental geometry which is involved.
Author | : Charles A. Weibel |
Publisher | : American Mathematical Soc. |
Total Pages | : 634 |
Release | : 2013-06-13 |
Genre | : Mathematics |
ISBN | : 0821891324 |
Download The $K$-book Book in PDF, ePub and Kindle
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