Author: Robert Ray Bruner
Publisher: American Mathematical Soc.
ISBN: 0821833669
Category : Mathematics
Languages : en
Pages : 144
Book Description
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
The Connective K-Theory of Finite Groups
Author: Robert Ray Bruner
Publisher: American Mathematical Soc.
ISBN: 0821833669
Category : Mathematics
Languages : en
Pages : 144
Book Description
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
Publisher: American Mathematical Soc.
ISBN: 0821833669
Category : Mathematics
Languages : en
Pages : 144
Book Description
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
Connective Real $K$-Theory of Finite Groups
Author: Robert Ray Bruner
Publisher: American Mathematical Soc.
ISBN: 0821851896
Category : Mathematics
Languages : en
Pages : 328
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 0821851896
Category : Mathematics
Languages : en
Pages : 328
Book Description
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.
The Connective K-Theory of Finite Groups
Author: Robert Ray Bruner
Publisher:
ISBN: 9781470403836
Category : Finite groups
Languages : en
Pages : 144
Book Description
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
Publisher:
ISBN: 9781470403836
Category : Finite groups
Languages : en
Pages : 144
Book Description
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
K-Theory of Finite Groups and Orders
Author: Richard G. Swan
Publisher: Springer
ISBN: 3540363122
Category : Mathematics
Languages : en
Pages : 242
Book Description
Publisher: Springer
ISBN: 3540363122
Category : Mathematics
Languages : en
Pages : 242
Book Description
A Relationship Between Connective K-theory of Finite Groups and Number Theory
Author: Michael Keogh
Publisher:
ISBN:
Category : Algebraic Number Theory
Languages : en
Pages : 130
Book Description
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.
Publisher:
ISBN:
Category : Algebraic Number Theory
Languages : en
Pages : 130
Book Description
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.
Transformation Groups and Algebraic K-Theory
Author: Wolfgang Lück
Publisher: Springer
ISBN: 3540468277
Category : Mathematics
Languages : en
Pages : 455
Book Description
The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in an algebraic K-group which determines the problem. The algebraic K-theory of modules over a category is studied extensively and appplied to the fundamental category of G-space. Basic details of the theory of transformation groups sometimes hard to find in the literature, are collected here (Chapter I) for the benefit of graduate students. Chapters II and III contain advanced new material of interest to researchers working in transformation groups, algebraic K-theory or related fields.
Publisher: Springer
ISBN: 3540468277
Category : Mathematics
Languages : en
Pages : 455
Book Description
The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in an algebraic K-group which determines the problem. The algebraic K-theory of modules over a category is studied extensively and appplied to the fundamental category of G-space. Basic details of the theory of transformation groups sometimes hard to find in the literature, are collected here (Chapter I) for the benefit of graduate students. Chapters II and III contain advanced new material of interest to researchers working in transformation groups, algebraic K-theory or related fields.
K-Theory of Finite Groups and Orders
Author: Richard G. Swan
Publisher:
ISBN: 9783662186657
Category :
Languages : en
Pages : 244
Book Description
Publisher:
ISBN: 9783662186657
Category :
Languages : en
Pages : 244
Book Description
The Connective Real K-Homology of Finite Groups
Author: Dilip Kumar Bayen
Publisher:
ISBN:
Category :
Languages : en
Pages : 174
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 174
Book Description
Algebraic K-theory of Crystallographic Groups
Author: Daniel Scott Farley
Publisher: Springer
ISBN: 3319081535
Category : Mathematics
Languages : en
Pages : 153
Book Description
The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives a powerful method for computing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class of three-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifying spaces. Later chapters assemble the techniques that are needed to apply the isomorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphism conjecture, and a contribution to the growing literature in the field.
Publisher: Springer
ISBN: 3319081535
Category : Mathematics
Languages : en
Pages : 153
Book Description
The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives a powerful method for computing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class of three-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifying spaces. Later chapters assemble the techniques that are needed to apply the isomorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphism conjecture, and a contribution to the growing literature in the field.
An Alpine Expedition through Algebraic Topology
Author: Christian Ausoni
Publisher: American Mathematical Soc.
ISBN: 0821891456
Category : Mathematics
Languages : en
Pages : 314
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 0821891456
Category : Mathematics
Languages : en
Pages : 314
Book Description
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.