Profinite Groups
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Profinite Groups
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Author : Luis Ribes
language : en
Publisher: Springer Science & Business Media
Release Date : 2000
Profinite Groups written by Luis Ribes 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 2000 with Mathematics categories.
Thinking Chinese Translation is a practical and comprehensive course for advanced undergraduates and postgraduate students of Chinese. It focuses on improving translation quality by showing in detail the roles of clarity, method and awareness of purpose in translation. The text aims to encourage students to think around and behind any text they translate, to be aware of the discourse of the text against the background of related texts and related discourses in the source and target language. The focus is not only on the vocabulary and linguistic structures needed for a text, but also the way things work at a manual or visual level. Taking the text as the stimulus which triggers the translator "s schema, Pellatt looks at ways of building schemata starting from the simplest texts, to more complex texts, and covering a range of subject matter, from cultural issues, legal contracts to financial markets.
Profinite Groups
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Author : Luis Ribes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09
Profinite Groups written by Luis Ribes 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 2013-04-09 with Mathematics categories.
The aim of this book is to serve both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. In neither of these two aspects have we tried to be encyclopedic. After some necessary background, we thoroughly develop the basic properties of profinite groups and introduce the main tools of the subject in algebra, topology and homol ogy. Later we concentrate on some topics that we present in detail, including recent developments in those areas. Interest in profinite groups arose first in the study of the Galois groups of infinite Galois extensions of fields. Indeed, profinite groups are precisely Galois groups and many of the applications of profinite groups are related to number theory. Galois groups carry with them a natural topology, the Krull topology. Under this topology they are Hausdorff compact and totally dis connected topological groups; these properties characterize profinite groups. Another important fact about profinite groups is that they are determined by their finite images under continuous homomorphisms: a profinite group is the inverse limit of its finite images. This explains the connection with abstract groups. If G is an infinite abstract group, one is interested in deducing prop erties of G from corresponding properties of its finite homomorphic images.
Profinite Groups Arithmetic And Geometry
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Author : Stephen S. Shatz
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Profinite Groups Arithmetic And Geometry written by Stephen S. Shatz and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
In this volume, the author covers profinite groups and their cohomology, Galois cohomology, and local class field theory, and concludes with a treatment of duality. His objective is to present effectively that body of material upon which all modern research in Diophantine geometry and higher arithmetic is based, and to do so in a manner that emphasizes the many interesting lines of inquiry leading from these foundations.
Profinite Groups
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Author : John S. Wilson
language : en
Publisher: Clarendon Press
Release Date : 1998-10-01
Profinite Groups written by John S. Wilson and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-01 with Mathematics categories.
This is the first book to be dedicated entirely to profinite groups, an area of algebra with important links to number theory and other areas of mathematics. It provides a comprehensive overview of the subject; prerequisite knowledge is kept to a minimum, and several major theorems are presented in an accessible form. The book would provide a valuable introduction for postgraduate students, or form a useful reference for researchers in other areas. The first few chapters lay the foundations and explain the role of profinite groups in number theory. Later chapters explore various aspects of profinite groups in more detail; these contain accessible and lucid accounts of many major theorems. Prerequisites are kept to a minimum with the basic topological theory summarized in an introductory chapter.
Profinite Graphs And Groups
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Author : Luis Ribes
language : en
Publisher: Springer
Release Date : 2017-08-23
Profinite Graphs And Groups written by Luis Ribes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-23 with Mathematics categories.
This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups. It is the first to provide a comprehensive treatment of the subject. The author begins by carefully developing relevant notions in topology, profinite groups and homology, including free products of profinite groups, cohomological methods in profinite groups, and fixed points of automorphisms of free pro-p groups. The final part of the book is dedicated to applications of the profinite theory to abstract groups, with sections on finitely generated subgroups of free groups, separability conditions in free and amalgamated products, and algorithms in free groups and finite monoids. Profinite Graphs and Groups will appeal to students and researchers interested in profinite groups, geometric group theory, graphs and connections with the theory of formal languages. A complete reference on the subject, the book includes historical and bibliographical notes as well as a discussion of open questions and suggestions for further reading.
Profinite Groups
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Author : John Stuart Wilson
language : en
Publisher:
Release Date : 1998
Profinite Groups written by John Stuart Wilson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Profinite groups categories.
Algebra
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Author : Yuri Bahturin
language : en
Publisher: Walter de Gruyter
Release Date : 2011-05-02
Algebra written by Yuri Bahturin and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-02 with Mathematics categories.
No detailed description available for "Algebra".
New Horizons In Pro P Groups
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Author : Marcus du Sautoy
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
New Horizons In Pro P Groups written by Marcus du Sautoy 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 2012-12-06 with Mathematics categories.
A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
New Directions In Locally Compact Groups
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Author : Pierre-Emmanuel Caprace
language : en
Publisher: Cambridge University Press
Release Date : 2018-02-08
New Directions In Locally Compact Groups written by Pierre-Emmanuel Caprace 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 2018-02-08 with Mathematics categories.
A snapshot of the major renaissance happening today in the study of locally compact groups and their many applications.
The Local Langlands Conjecture For Gl 2
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Author : Colin J. Bushnell
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-29
The Local Langlands Conjecture For Gl 2 written by Colin J. Bushnell 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 2006-08-29 with Mathematics categories.
The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research program of already 40 years and gives a complete and self-contained proof of the Langlands conjecture in the case n=2. It is aimed at graduate students and at researchers in related fields. It presupposes no special knowledge beyond the beginnings of the representation theory of finite groups and the structure theory of local fields.