A Study On The Relationship Between The Cohomology Of 2 Groups And Certain Subalgebras Of The Mod 2 Steenrod Algebra
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A Study On The Relationship Between The Cohomology Of 2 Groups And Certain Subalgebras Of The Mod 2 Steenrod Algebra
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Author : Kathleen Marie Phelps
language : en
Publisher:
Release Date : 2003
A Study On The Relationship Between The Cohomology Of 2 Groups And Certain Subalgebras Of The Mod 2 Steenrod Algebra written by Kathleen Marie Phelps and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Let A (n) be the subalgebra of the mod-2 Steenrod algebra generated by {1, Sq1,..., Sq 2n}. I hope to construct a 2-group G with the property H*(G, Z /2) ≅ ExtA2 ( Z /2, Z /2). The difficulty in this construction is due to the different actions of Sq0 on the cohomology of a group and the cohomology of a Hopf algebra.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 2004
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Dissertations, Academic categories.
Polynomials And The Mod 2 Steenrod Algebra
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Author : Grant Walker
language : en
Publisher: Cambridge University Press
Release Date : 2018
Polynomials And The Mod 2 Steenrod Algebra written by Grant Walker 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 with Mathematics categories.
The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
Complex Cobordism And Stable Homotopy Groups Of Spheres
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Author : Douglas C. Ravenel
language : en
Publisher: American Mathematical Society
Release Date : 2023-02-09
Complex Cobordism And Stable Homotopy Groups Of Spheres written by Douglas C. Ravenel and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-09 with Mathematics categories.
Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject.
Stable Homotopy Over The Steenrod Algebra
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Author : John Harold Palmieri
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Stable Homotopy Over The Steenrod Algebra written by John Harold Palmieri 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 2001 with Mathematics categories.
This title applys the tools of stable homotopy theory to the study of modules over the mod $p$ Steenrod algebra $A DEGREES{*}$. More precisely, let $A$ be the dual of $A DEGREES{*}$; then we study the category $\mathsf{stable}(A)$ of unbounded cochain complexes of injective comodules over $A$, in which the morphisms are cochain homotopy classes of maps. This category is triangulated. Indeed, it is a stable homotopy category, so we can use Brown representability, Bousfield localization, Brown-Comenetz duality, and other homotopy-theoretic tools to study it. One focus of attention is the analogue of the stable homotopy groups of spheres, which in this setting is the cohomology of $A$, $\mathrm{Ext}_A DEGREES{**}(\mathbf{F}_p, \mathbf{F}_p)$. This title also has nilpotence theorems, periodicity theorems, a convergent chromatic tower, and a nu
Publications Of The Research Institute For Mathematical Sciences
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Author : Kyōto Daigaku. Sūri Kaiseki Kenkyūjo
language : en
Publisher:
Release Date : 1973
Publications Of The Research Institute For Mathematical Sciences written by Kyōto Daigaku. Sūri Kaiseki Kenkyūjo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Group Representations Cohomology Group Actions And Topology
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Author : Alejandro Adem
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Group Representations Cohomology Group Actions And Topology written by Alejandro Adem 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 1998 with Mathematics categories.
This volume combines contributions in topology and representation theory that reflect the increasingly vigorous interactions between these areas. Topics such as group theory, homotopy theory, cohomology of groups, and modular representations are covered. All papers have been carefully refereed and offer lasting value.
Comprehensive Dissertation Index Mathematics Statistics Physics A E
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Author :
language : en
Publisher:
Release Date : 1984
Comprehensive Dissertation Index Mathematics Statistics Physics A E written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Dissertations, Academic categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2000
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Comprehensive Dissertation Index
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Author :
language : en
Publisher:
Release Date : 1984
Comprehensive Dissertation Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Dissertations, Academic categories.
Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.