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Algorithms and Classification in Combinatorial Group Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 308/5 ( reviews)

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Book Synopsis Algorithms and Classification in Combinatorial Group Theory by : Gilbert Baumslag

Download or read book Algorithms and Classification in Combinatorial Group Theory written by Gilbert Baumslag. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algorithms and Classification in Combinatorial Group Theory

1992 Algorithms
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Release : 1992
Genre : Algorithms
Kind : eBook
Book Rating : 851/5 ( reviews)

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Book Synopsis Algorithms and Classification in Combinatorial Group Theory by : Gilbert Baumslag

Download or read book Algorithms and Classification in Combinatorial Group Theory written by Gilbert Baumslag. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Combinatorial Group Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 873/5 ( reviews)

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Book Synopsis Topics in Combinatorial Group Theory by : Gilbert Baumslag

Download or read book Topics in Combinatorial Group Theory written by Gilbert Baumslag. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

2015-03-12 Mathematics
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Release : 2015-03-12
Genre : Mathematics
Kind : eBook
Book Rating : 960/5 ( reviews)

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Book Synopsis Combinatorial Group Theory by : Roger C. Lyndon

Download or read book Combinatorial Group Theory written by Roger C. Lyndon. This book was released on 2015-03-12. Available in PDF, EPUB and Kindle. Book excerpt: 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

Classical Topology and Combinatorial Group Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 726/5 ( reviews)

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Book Synopsis Classical Topology and Combinatorial Group Theory by : John Stillwell

Download or read book Classical Topology and Combinatorial Group Theory written by John Stillwell. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus from geometric recreations like the seven bridges; rather, it resulted from the l'isualization of problems from other parts of mathematics-complex analysis (Riemann), mechanics (Poincare), and group theory (Dehn). It is these connec tions to other parts of mathematics which make topology an important as well as a beautiful subject.

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