The Connective K Theory Of Finite Groups
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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: 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
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
K Theory Of Finite Groups And Orders
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Author : Richard G. Swan
language : en
Publisher: Springer
Release Date : 2006-11-15
K Theory Of Finite Groups And Orders written by Richard G. Swan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The Lower Algebraic K Theory Of Virtually Cyclic Subgroups Of The Braid Groups Of The Sphere And Of Zb4 S2
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Author : John Guaschi
language : en
Publisher: Springer
Release Date : 2018-11-03
The Lower Algebraic K Theory Of Virtually Cyclic Subgroups Of The Braid Groups Of The Sphere And Of Zb4 S2 written by John Guaschi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Mathematics categories.
This 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.
Operations In Connective K Theory
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Author : Richard M. Kane
language : en
Publisher: American Mathematical Soc.
Release Date : 1981
Operations In Connective K Theory written by Richard M. Kane 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 1981 with Homotopy groups categories.
This paper constructs and studies a family {[italic]Q[italic]n} of operations in complex connective K-theory. The operations arise from splitting [italic]b[italic]u [wedge product symbol]∧[italic]b[italic]u (localized at a prime p) into a wedge of summands. The operations are applied to obtain restrictions on the action of Steenrod powers on [italic]H[italic bold]Z/p*([italic]X) when [italic]H[italic bold]Z [subscript](p)*([italic]X) is torsion free.
K Theory Of Finite Groups And Orders
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Author : Richard G. Swan
language : en
Publisher:
Release Date : 2014-01-15
K Theory Of Finite Groups And Orders written by Richard G. Swan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Cohomology Of Finite Groups
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Author : Alejandro Adem
language : en
Publisher: Springer
Release Date : 1994-07-26
Cohomology Of Finite Groups written by Alejandro Adem and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-07-26 with Mathematics categories.
The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, and describes the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of important classes of groups including symmetric groups, alternating groups, finite groups of Lie type, and some of the sporadic simple groups, enable readers to acquire an in-depth understanding of group cohomology and its extensive applications.
Finite Groups
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Author : Bertram A. F. Wehrfritz
language : en
Publisher: World Scientific
Release Date : 1999
Finite Groups written by Bertram A. F. Wehrfritz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics. Its proofs often have elegance and crystalline beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day.
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.