Combinatorial Group Theory Discrete Groups And Number Theory PDF Download
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Author | : |
Publisher | : American Mathematical Soc. |
Total Pages | : 273 |
Release | : 2006 |
Genre | : Combinatorial group theory |
ISBN | : 9780821857519 |
Download Combinatorial Group Theory, Discrete Groups, and Number Theory Book in PDF, ePub and Kindle
Author | : Benjamin Fine |
Publisher | : American Mathematical Soc. |
Total Pages | : 282 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 0821839853 |
Download Combinatorial Group Theory, Discrete Groups, and Number Theory Book in PDF, ePub and Kindle
This volume consists of contributions by participants and speakers at two conferences. The first was entitled Combinatorial Group Theory, Discrete Groups and Number Theory and was held at Fairfield University, December 8-9, 2004. It was in honor of Professor Gerhard Rosenberger's sixtieth birthday. The second was the AMS Special Session on Infinite Group Theory held at Bard College, October 8-9, 2005. The papers in this volume provide a very interesting mix of combinatorial group theory, discrete group theory and ring theory as well as contributions to noncommutative algebraic cryptography.
Author | : Roger C. Lyndon |
Publisher | : Springer |
Total Pages | : 354 |
Release | : 2015-03-12 |
Genre | : Mathematics |
ISBN | : 3642618960 |
Download Combinatorial Group Theory Book in PDF, ePub and Kindle
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
Author | : Gilbert Baumslag |
Publisher | : Springer Science & Business Media |
Total Pages | : 235 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461397308 |
Download Algorithms and Classification in Combinatorial Group Theory Book in PDF, ePub and Kindle
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.
Author | : Benjamin Fine |
Publisher | : |
Total Pages | : 273 |
Release | : 2006 |
Genre | : |
ISBN | : 9780821839850 |
Download Combinatorial group theory, discrete groups, and number theory : a Conference in Honor of Gerhard Rosenberger, December 8 - 9, 2004, Fairfield University ; AMS Special Session on Infinite Groups, October 8 - 9, 2005, Bard College Book in PDF, ePub and Kindle
Author | : B. Chandler |
Publisher | : Springer Science & Business Media |
Total Pages | : 240 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461394872 |
Download The History of Combinatorial Group Theory Book in PDF, ePub and Kindle
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.
Author | : Benjamin Fine |
Publisher | : CRC Press |
Total Pages | : 338 |
Release | : 1999-07-27 |
Genre | : Mathematics |
ISBN | : 9780824703196 |
Download Algebraic Generalizations of Discrete Groups Book in PDF, ePub and Kindle
A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations. It provides a self-contained account of certain natural generalizations of discrete groups.
Author | : Wilhelm Magnus |
Publisher | : Courier Corporation |
Total Pages | : 466 |
Release | : 2004-01-01 |
Genre | : Mathematics |
ISBN | : 0486438309 |
Download Combinatorial Group Theory Book in PDF, ePub and Kindle
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.
Author | : Gilbert Baumslag |
Publisher | : Birkhäuser |
Total Pages | : 174 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034885873 |
Download Topics in Combinatorial Group Theory Book in PDF, ePub and Kindle
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.
Author | : Valérie Berthé |
Publisher | : Birkhäuser |
Total Pages | : 578 |
Release | : 2018-04-09 |
Genre | : Mathematics |
ISBN | : 331969152X |
Download Sequences, Groups, and Number Theory Book in PDF, ePub and Kindle
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.