Combinatorial Group Theory Discrete Groups And Number Theory
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Combinatorial Group Theory Discrete Groups and Number Theory
Author | : Anonim |
Publsiher | : American Mathematical Soc. |
Total Pages | : 273 |
Release | : 2006 |
Genre | : Combinatorial group theory |
ISBN | : 0821857517 |
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Combinatorial Group Theory Discrete Groups and Number Theory
Author | : Discrete Groups Conference on Combinatorial Group Theory |
Publsiher | : American Mathematical Soc. |
Total Pages | : 282 |
Release | : 2006 |
Genre | : Combinatorial group theory |
ISBN | : 9780821839850 |
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Read Write Inc. Fresh Start is a specially adapted literacy programme for all pupils in Years 5, 6 and 7 who are working below National Curriculum level 3. Like Read Write Inc. Phonics for pupils in the early years, the scheme starts by introducing pupils to all the letter sounds through use of the Speed Sounds cards and the green and red flashcards.Pupils progress through these sets of workbooks at their own pace, after they have completed the Introductory module. Modules 1-10 include both fiction and non-fiction texts and cover a range of cross-curricular topics. Practise in writing, spelling, editing and comprehension is provided at every level.
Combinatorial Group Theory
Author | : Roger C. Lyndon,Paul E. Schupp |
Publsiher | : Springer |
Total Pages | : 354 |
Release | : 2015-03-12 |
Genre | : Mathematics |
ISBN | : 9783642618963 |
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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
The History of Combinatorial Group Theory
Author | : B. Chandler,W. Magnus |
Publsiher | : Springer Science & Business Media |
Total Pages | : 240 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9781461394877 |
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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.
Topics in Combinatorial Group Theory
Author | : Gilbert Baumslag |
Publsiher | : Birkhäuser |
Total Pages | : 174 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783034885874 |
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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
Author | : Wilhelm Magnus,Abraham Karrass,Donald Solitar |
Publsiher | : Courier Corporation |
Total Pages | : 466 |
Release | : 2004-01-01 |
Genre | : Mathematics |
ISBN | : 9780486438306 |
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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.
Algebraic Generalizations of Discrete Groups
Author | : Benjamin Fine,Gerhard Rosenberger |
Publsiher | : CRC Press |
Total Pages | : 338 |
Release | : 1999-07-27 |
Genre | : Mathematics |
ISBN | : 0824703197 |
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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.
Combinatorial and Geometric Group Theory
Author | : Sean Cleary,Stephen Berman,Robert Gilman,Alexei G. Myasnikov,Vladimir Shpilrain |
Publsiher | : American Mathematical Soc. |
Total Pages | : 275 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 9780821828229 |
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This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compact Riemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.