Homological Localization Towers For Groups And Ii Modules
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Homological Localization Towers For Groups And Pi Modules
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Author : A. K. Bousfield
language : en
Publisher: American Mathematical Soc.
Release Date : 1977
Homological Localization Towers For Groups And Pi Modules written by A. K. Bousfield 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 1977 with Mathematics categories.
This paper investigates algebraic homological localizations which have arisen in the homotopy theoretic study of localizations of spaces. It focuses on the "HR-localization" of groups and the "HZ localization" of modules over a group [capital Greek]Pi, where the coefficient ring [italic]R is allowed to be a subring of the rationals or a finite cyclic ring. The investigation is based on a construction of natural transfinite towers which eventually stabilize to the desired homological localizations. These towers are used to show that the HR-local groups form the smallest class of groups containing the trivial group, closed under inverse limits, and closed under central [italic]R-module extensions.
Homological Localization Towers For Groups And Ii Modules
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Author : Aldridge Knight Bousfield
language : en
Publisher:
Release Date : 1977
Homological Localization Towers For Groups And Ii Modules written by Aldridge Knight Bousfield and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Lower Central And Dimension Series Of Groups
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Author : Roman Mikhailov
language : en
Publisher: Springer Science & Business Media
Release Date : 2009
Lower Central And Dimension Series Of Groups written by Roman Mikhailov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
A fundamental object of study in group theory is the lower central series of groups. Understanding its relationship with the dimension series is a challenging task. This monograph presents an exposition of different methods for investigating this relationship.
Homology Of Linear Groups
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Author : Kevin P. Knudson
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Homology Of Linear Groups written by Kevin P. Knudson and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices. This text traces the development of this theory from Quillen's fundamental calculation. It presents the stability theorems and low-dimensional results of A. Suslin, W. van der Kallen and others are presented. Coverage also examines the Friedlander-Milnor-conjecture concerning the homology of algebraic groups made discrete.
Notices Of The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1993
Notices Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
Combinatorial Group Theory
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Author : Benjamin Fine
language : en
Publisher: American Mathematical Soc.
Release Date : 1990
Combinatorial Group Theory written by Benjamin Fine 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 1990 with Mathematics categories.
Eighteen papers presented during a special AMS session designed to draw together researchers in various areas of infinite group theory, especially combinatorial group theory, to share methods and results.
Homological Group Theory
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Author : Charles Terence Clegg Wall
language : en
Publisher: Cambridge University Press
Release Date : 1979-12-27
Homological Group Theory written by Charles Terence Clegg Wall 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 1979-12-27 with Mathematics categories.
Eminent mathematicians have presented papers on homological and combinatorial techniques in group theory. The lectures are aimed at presenting in a unified way new developments in the area.
Library Of Congress Catalogs
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Author : Library of Congress
language : en
Publisher:
Release Date : 1979
Library Of Congress Catalogs written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Algebraic K Theory And Its Applications Proceedings Of The School
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Author : Hyman Bass
language : en
Publisher: World Scientific
Release Date : 1999-03-12
Algebraic K Theory And Its Applications Proceedings Of The School written by Hyman Bass and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-12 with categories.
The Proceedings volume is divided into two parts. The first part consists of lectures given during the first two weeks devoted to a workshop featuring state-of-the-art expositions on 'Overview of Algebraic K-theory' including various constructions, examples, and illustrations from algebra, number theory, algebraic topology, and algebraic/differential geometry; as well as on more concentrated topics involving connections of K-theory with Galois, etale, cyclic, and motivic (co)homologies; values of zeta functions, and Arithmetics of Chow groups and zero cycles. The second part consists of research papers arising from the symposium lectures in the third week.
Handbook Of Teichm Ller Theory
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Author : Athanase Papadopoulos
language : en
Publisher: European Mathematical Society
Release Date : 2007
Handbook Of Teichm Ller Theory written by Athanase Papadopoulos and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Teichm uller spaces categories.
The subject of this handbook is Teichmuller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces. This includes the study of vector bundles on these moduli spaces, the study of mapping class groups, the relation with $3$-manifolds, the relation with symmetric spaces and arithmetic groups, the representation theory of fundamental groups, and applications to physics. Thus the handbook is a place where several fields of mathematics interact: Riemann surfaces, hyperbolic geometry, partial differential equations, several complex variables, algebraic geometry, algebraic topology, combinatorial topology, low-dimensional topology, theoretical physics, and others. This confluence of ideas toward a unique subject is a manifestation of the unity and harmony of mathematics. This volume contains surveys on the fundamental theory as well as surveys on applications to and relations with the fields mentioned above. It is written by leading experts in these fields. Some of the surveys contain classical material, while others present the latest developments of the theory as well as open problems. This volume is divided into the following four sections: The metric and the analytic theory The group theory The algebraic topology of mapping class groups and moduli spaces Teichmuller theory and mathematical physics This handbook is addressed to graduate students and researchers in all the fields mentioned.