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The Atlas Of Finite Groups Ten Years On


The Atlas Of Finite Groups Ten Years On
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The Atlas Of Finite Groups Ten Years On


The Atlas Of Finite Groups Ten Years On
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Author : Robert Curtis
language : en
Publisher: Cambridge University Press
Release Date : 1998-06-11

The Atlas Of Finite Groups Ten Years On written by Robert Curtis 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 1998-06-11 with Mathematics categories.


Proceedings containing twenty articles by leading experts in group theory and its applications.



The Atlas Of Finite Groups Ten Years On


The Atlas Of Finite Groups Ten Years On
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Author : Robert Curtis
language : en
Publisher:
Release Date : 1998

The Atlas Of Finite Groups Ten Years On written by Robert Curtis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Finite groups categories.


The Atlas of Finite Groups by J. H. Conway, R. A. Parker, S. P. Norton and the editors of this book, was published in 1985, and has proved itself to be an indispensable tool to all researchers in group theory and many related areas. The present book is the proceedings of a conference organised to mark the 10th anniversary of the publication of the Atlas, and contains twenty articles by leading experts in the field, covering many aspects of group theory and its applications. There are surveys on recent developments, expository articles, and research papers, as well as a historical article on the development of the Atlas project since 1970. The book emphasises recent advances in group theory and applications which have been stimulated by the comprehensive collection of information contained in the Atlas, and covers both theoretical and computational aspects of finite groups, modular representation theory, presentations, and applications to the study of surfaces.



The Atlas Of Finite Groups Ten Years On


The Atlas Of Finite Groups Ten Years On
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Author : R. T. Curtis
language : en
Publisher:
Release Date : 1998

The Atlas Of Finite Groups Ten Years On written by R. T. Curtis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Electronic books categories.


Proceedings containing twenty articles by leading experts in group theory and its applications.



The Monster Group And Majorana Involutions


The Monster Group And Majorana Involutions
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Author : Aleksandr Anatolievich Ivanov
language : en
Publisher: Cambridge University Press
Release Date : 2009-03-19

The Monster Group And Majorana Involutions written by Aleksandr Anatolievich Ivanov 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 2009-03-19 with Mathematics categories.


A rigorous construction and uniqueness proof for the Monster group, detailing its relation to Majorana involutions.



Foundations Of Computational Mathematics Hong Kong 2008


Foundations Of Computational Mathematics Hong Kong 2008
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Author : Felipe Cucker
language : en
Publisher: Cambridge University Press
Release Date : 2009-07-02

Foundations Of Computational Mathematics Hong Kong 2008 written by Felipe Cucker 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 2009-07-02 with Mathematics categories.


Surveys and summaries of the latest research in numerical analysis, optimization, computer algebra and scientific computing.



Smoothness Regularity And Complete Intersection


Smoothness Regularity And Complete Intersection
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Author : Javier Majadas
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-06

Smoothness Regularity And Complete Intersection written by Javier Majadas 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 2010-05-06 with Mathematics categories.


Written to complement standard texts on commutative algebra, this short book gives complete and relatively easy proofs of important results, including the standard results involving localisation of formal smoothness (M. André) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and André on regular homomorphisms, and some results from A. Grothendieck's EGA on smooth homomorphisms. The authors make extensive use of the André–Quillen homology of commutative algebras, but only up to dimension 2, which is easy to construct, and they deliberately avoid using simplicial methods. The book also serves as an accessible introduction to some advanced topics and techniques. The only prerequisites are a basic course in commutative algebra and the first definitions in homological algebra.



Triangulated Categories


Triangulated Categories
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Author : Thorsten Holm
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-24

Triangulated Categories written by Thorsten Holm 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 2010-06-24 with Mathematics categories.


A 2010 collection of survey articles by leading experts covering fundamental aspects of triangulated categories, as well as applications in algebraic geometry, representation theory, commutative algebra, microlocal analysis and algebraic topology. This is a valuable reference for experts and a useful introduction for graduate students entering the field.



Lectures On Invariant Theory


Lectures On Invariant Theory
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Author : Igor Dolgachev
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-07

Lectures On Invariant Theory written by Igor Dolgachev 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 2003-08-07 with Mathematics categories.


The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.



Geometry And Integrability


Geometry And Integrability
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Author : Lionel Mason
language : en
Publisher: Cambridge University Press
Release Date : 2003-11-20

Geometry And Integrability written by Lionel Mason 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 2003-11-20 with Mathematics categories.


Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially true today when the heroic days of KdV-type integrability are over. Problems that can be solved using the inverse scattering transformation have reached the point of diminishing returns. Two major techniques have emerged for dealing with multi-dimensional integrable systems: twistor theory and the d-bar method, both of which form the subject of this book. It is intended to be an introduction, though by no means an elementary one, to current research on integrable systems in the framework of differential geometry and algebraic geometry. This book arose from a seminar, held at the Feza Gursey Institute, to introduce advanced graduate students to this area of research. The articles are all written by leading researchers and are designed to introduce the reader to contemporary research topics.



Automorphisms Of Riemann Surfaces Subgroups Of Mapping Class Groups And Related Topics


Automorphisms Of Riemann Surfaces Subgroups Of Mapping Class Groups And Related Topics
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Author : Aaron Wootton
language : en
Publisher: American Mathematical Society
Release Date : 2022-02-03

Automorphisms Of Riemann Surfaces Subgroups Of Mapping Class Groups And Related Topics written by Aaron Wootton 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 2022-02-03 with Mathematics categories.


Automorphism groups of Riemann surfaces have been widely studied for almost 150 years. This area has persisted in part because it has close ties to many other topics of interest such as number theory, graph theory, mapping class groups, and geometric and computational group theory. In recent years there has been a major revival in this area due in part to great advances in computer algebra systems and progress in finite group theory. This volume provides a concise but thorough introduction for newcomers to the area while at the same time highlighting new developments for established researchers. The volume starts with two expository articles. The first of these articles gives a historical perspective of the field with an emphasis on highly symmetric surfaces, such as Hurwitz surfaces. The second expository article focuses on the future of the field, outlining some of the more popular topics in recent years and providing 78 open research problems across all topics. The remaining articles showcase new developments in the area and have specifically been chosen to cover a variety of topics to illustrate the range of diversity within the field.