The History Of Combinatorial Group Theory
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The History Of Combinatorial Group Theory
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Author : B. Chandler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The History Of Combinatorial Group Theory written by B. Chandler 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.
One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study.
Combinatorial Group Theory
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Author : Roger C. Lyndon
language : en
Publisher: Springer
Release Date : 2015-03-12
Combinatorial Group Theory written by Roger C. Lyndon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-12 with Mathematics categories.
From the reviews: "This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews
Combinatorial Group Theory
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Author : Wilhelm Magnus
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01
Combinatorial Group Theory written by Wilhelm Magnus and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.
This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; and more. Second, revised 1976 edition.
Algorithms And Classification In Combinatorial Group Theory
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Author : Gilbert Baumslag
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algorithms And Classification In Combinatorial Group Theory written by Gilbert Baumslag 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.
The papers in this volume are the result of a workshop held in January 1989 at the Mathematical Sciences Research Institute. Topics covered include decision problems, finitely presented simple groups, combinatorial geometry and homology, and automatic groups and related topics.
Topics In Combinatorial Group Theory
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Author : Gilbert Baumslag
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Topics In Combinatorial Group Theory written by Gilbert Baumslag 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.
Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level.
Combinatorial Group Theory And Topology
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Author : S. M. Gersten
language : en
Publisher: Princeton University Press
Release Date : 1987-05-21
Combinatorial Group Theory And Topology written by S. M. Gersten 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 1987-05-21 with Mathematics categories.
Group theory and topology are closely related. The region of their interaction, combining the logical clarity of algebra with the depths of geometric intuition, is the subject of Combinatorial Group Theory and Topology. The work includes papers from a conference held in July 1984 at Alta Lodge, Utah. Contributors to the book include Roger Alperin, Hyman Bass, Max Benson, Joan S. Birman, Andrew J. Casson, Marshall Cohen, Donald J. Collins, Robert Craggs, Michael Dyer, Beno Eckmann, Stephen M. Gersten, Jane Gilman, Robert H. Gilman, Narain D. Gupta, John Hempel, James Howie, Roger Lyndon, Martin Lustig, Lee P. Neuwirth, Andrew J. Nicas, N. Patterson, John G. Ratcliffe, Frank Rimlinger, Caroline Series, John R. Stallings, C. W. Stark, and A. Royce Wolf.
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
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Author : Daniel E. Cohen
language : en
Publisher:
Release Date : 1989
Combinatorial Group Theory written by Daniel E. Cohen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Combinatorial Group Theory And Applications To Geometry
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Author : D.J. Collins
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-03-17
Combinatorial Group Theory And Applications To Geometry written by D.J. Collins 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 1998-03-17 with Mathematics categories.
From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ..." Bulletin of the London Mathematical Society, 1996
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.