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Combinatorial Group Theory Discrete Groups And Number Theory


Combinatorial Group Theory Discrete Groups And Number Theory
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Combinatorial Group Theory


Combinatorial Group Theory
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Author : Daniel E. Cohen
language : en
Publisher: Cambridge University Press
Release Date : 1989-08-17

Combinatorial Group Theory written by Daniel E. Cohen 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 1989-08-17 with Mathematics categories.


In this book the author aims to show the value of using topological methods in combinatorial group theory.



Combinatorial Group Theory Discrete Groups And Number Theory


Combinatorial Group Theory Discrete Groups And Number Theory
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Combinatorial Group Theory Discrete Groups And Number Theory written by 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 2006 with Combinatorial group theory categories.




Applications Of Group Theory To Combinatorics


Applications Of Group Theory To Combinatorics
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Author : Jack Koolen
language : en
Publisher: CRC Press
Release Date : 2008-07-02

Applications Of Group Theory To Combinatorics written by Jack Koolen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-02 with Mathematics categories.


Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology. The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state



Topological Methods In Group Theory


Topological Methods In Group Theory
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Author : Ross Geoghegan
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-17

Topological Methods In Group Theory written by Ross Geoghegan 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 2007-12-17 with Mathematics categories.


This book is about the interplay between algebraic topology and the theory of infinite discrete groups. It is a hugely important contribution to the field of topological and geometric group theory, and is bound to become a standard reference in the field. To keep the length reasonable and the focus clear, the author assumes the reader knows or can easily learn the necessary algebra, but wants to see the topology done in detail. The central subject of the book is the theory of ends. Here the author adopts a new algebraic approach which is geometric in spirit.



Two Dimensional Homotopy And Combinatorial Group Theory


Two Dimensional Homotopy And Combinatorial Group Theory
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Author : Cynthia Hog-Angeloni
language : en
Publisher: Cambridge University Press
Release Date : 1993-12-09

Two Dimensional Homotopy And Combinatorial Group Theory written by Cynthia Hog-Angeloni 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 1993-12-09 with Mathematics categories.


Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers.



Infinite Group Theory From The Past To The Future


Infinite Group Theory From The Past To The Future
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Author : Paul Baginski
language : en
Publisher: World Scientific
Release Date : 2017-12-26

Infinite Group Theory From The Past To The Future written by Paul Baginski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-26 with Mathematics categories.


The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.



Combinatorial Number Theory And Additive Group Theory


Combinatorial Number Theory And Additive Group Theory
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Author : Alfred Geroldinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-15

Combinatorial Number Theory And Additive Group Theory written by Alfred Geroldinger 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 2009-04-15 with Mathematics categories.


Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on problems related to the addition of integers. Some classical problems like the Waring problem on the sum of k-th powers or the Goldbach conjecture are genuine examples of the original questions addressed in the area. One of the features of contemporary additive combinatorics is the interplay of a great variety of mathematical techniques, including combinatorics, harmonic analysis, convex geometry, graph theory, probability theory, algebraic geometry or ergodic theory. This book gathers the contributions of many of the leading researchers in the area and is divided into three parts. The two first parts correspond to the material of the main courses delivered, Additive combinatorics and non-unique factorizations, by Alfred Geroldinger, and Sumsets and structure, by Imre Z. Ruzsa. The third part collects the notes of most of the seminars which accompanied the main courses, and which cover a reasonably large part of the methods, techniques and problems of contemporary additive combinatorics.



Combinatorial And Geometric Group Theory Edinburgh 1993


Combinatorial And Geometric Group Theory Edinburgh 1993
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Author : Andrew J. Duncan
language : en
Publisher: Cambridge University Press
Release Date : 1995

Combinatorial And Geometric Group Theory Edinburgh 1993 written by Andrew J. Duncan 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 1995 with Mathematics categories.


The ICMS Workshop on Geometric and Combinatorial Methods in Group Theory, held at Heriot-Watt University in 1993, brought together some of the leading research workers in the subject. Some of the survey articles and contributed papers presented at the meeting are collected in this volume. The former cover a number of areas of current interest and include papers by: S. M. Gersten, R. I. Grigorchuk, P. H. Kropholler, A. Lubotzky, A. A. Razborov and E. Zelmanov. The contributed articles, all refereed, range over a wide number of topics in combinatorial and geometric group theory and related topics. The volume represents a summary of the state of knowledge of the field, and as such will be indispensable to all research workers in the area.



Combinatorial And Additive Number Theory Iii


Combinatorial And Additive Number Theory Iii
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Author : Melvyn B. Nathanson
language : en
Publisher: Springer Nature
Release Date : 2019-12-10

Combinatorial And Additive Number Theory Iii written by Melvyn B. Nathanson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-10 with Mathematics categories.


Based on talks from the 2017 and 2018 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 17 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003, the workshop series surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Topics featured in this volume include sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, commutative algebra and discrete geometry, and applications of logic and nonstandard analysis to number theory. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.



Algebraic And Geometric Combinatorics


Algebraic And Geometric Combinatorics
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Author : Christos A. Athanasiadis
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Algebraic And Geometric Combinatorics written by Christos A. Athanasiadis 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 2006 with Mathematics categories.


This volume contains original research and survey articles stemming from the Euroconference ``Algebraic and Geometric Combinatorics''. The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen-Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan-Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.