The Connective K Theory Of Finite Groups

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The Connective K Theory Of Finite Groups

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Author : Robert Ray Bruner
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

The Connective K Theory Of Finite Groups written by Robert Ray Bruner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

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

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Author : Robert Ray Bruner
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Connective Real K Theory Of Finite Groups written by Robert Ray Bruner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

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

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Author : Robert Ray Bruner
language : en
Publisher:
Release Date : 2014-09-11

The Connective K Theory Of Finite Groups written by Robert Ray Bruner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Finite groups categories.

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

A Relationship Between Connective K Theory Of Finite Groups And Number Theory

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Author : Michael Keogh
language : en
Publisher:
Release Date : 2018

A Relationship Between Connective K Theory Of Finite Groups And Number Theory written by Michael Keogh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Algebraic Number Theory categories.

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.

Handbook Of Homotopy Theory

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Author : Haynes Miller
language : en
Publisher: CRC Press
Release Date : 2020-01-23

Handbook Of Homotopy Theory written by Haynes Miller and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Mathematics categories.

The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.

Equivariant Topology And Derived Algebra

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Author : Scott Balchin
language : en
Publisher: Cambridge University Press
Release Date : 2022

Equivariant Topology And Derived Algebra written by Scott Balchin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Mathematics categories.

A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.

Geometry Of Spherical Space Form Groups The Second Edition

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Author : Peter B Gilkey
language : en
Publisher: World Scientific
Release Date : 2018-01-04

Geometry Of Spherical Space Form Groups The Second Edition written by Peter B Gilkey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-04 with Mathematics categories.

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.

An Alpine Expedition Through Algebraic Topology

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Author : Christian Ausoni
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-06-09

An Alpine Expedition Through Algebraic Topology written by Christian Ausoni and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-09 with Mathematics categories.

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.

Global Homotopy Theory

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Author : Stefan Schwede
language : en
Publisher: Cambridge University Press
Release Date : 2018-09-06

Global Homotopy Theory written by Stefan Schwede and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-06 with Mathematics categories.

A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.

Mutually Catalytic Super Branching Random Walks Large Finite Systems And Renormalization Analysis

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Author : J. T. Cox
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Mutually Catalytic Super Branching Random Walks Large Finite Systems And Renormalization Analysis written by J. T. Cox and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Studies the evolution of the large finite spatial systems in size-dependent time scales and compare them with the behavior of the infinite systems, which amounts to establishing the so-called finite system scheme. This title introduces the concept of a continuum limit in the hierarchical mean field limit.