Share

Topics in Combinatorial Group Theory

1993-09-01 Mathematics
Download Topics in Combinatorial Group Theory PDF Online Free

Author :
Release : 1993-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 211/5 ( reviews)

GET EBOOK


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 1993-09-01. 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.

Topics in Combinatorial Group Theory

2012-12-06 Mathematics
Download Topics in Combinatorial Group Theory PDF Online Free

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

GET EBOOK


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.

The History of Combinatorial Group Theory

2012-12-06 Mathematics
Download The History of Combinatorial Group Theory PDF Online Free

Author :
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 872/5 ( reviews)

GET EBOOK


Book Synopsis The History of Combinatorial Group Theory by : B. Chandler

Download or read book The History of Combinatorial Group Theory written by B. Chandler. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

2004-01-01 Mathematics
Download Combinatorial Group Theory PDF Online Free

Author :
Release : 2004-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 309/5 ( reviews)

GET EBOOK


Book Synopsis Combinatorial Group Theory by : Wilhelm Magnus

Download or read book Combinatorial Group Theory written by Wilhelm Magnus. This book was released on 2004-01-01. Available in PDF, EPUB and Kindle. Book excerpt: 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

2012-12-06 Mathematics
Download Algorithms and Classification in Combinatorial Group Theory PDF Online Free

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

GET EBOOK


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.

You may also like...