4 edition of **Combinatorial group theory** found in the catalog.

Combinatorial group theory

Wilhelm Magnus

- 46 Want to read
- 13 Currently reading

Published
**1976** by Dover Publications (etc.), Constable in New York, London .

Written in English

- Groups, Theory of.

**Edition Notes**

Statement | Wilhelm Magnus, Abraham Karrass, Donald Solitar. |

Contributions | Karrass, Abraham., Solitar, Donald. |

Classifications | |
---|---|

LC Classifications | QA171 |

The Physical Object | |

Pagination | xii,444p. ; |

Number of Pages | 444 |

ID Numbers | |

Open Library | OL21480074M |

ISBN 10 | 0486632814 |

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The complete bibliography (more than titles) well reflects the situation in the combinatorial group theory at the time when the book was published. Definitely, since the face of combinatorial group theory has significantly changed this well-written book still is very functional and efficient."Cited by: The complete bibliography (more than titles) well reflects the situation in the combinatorial group theory at the time when the book was published.

Definitely, since the face of combinatorial group theory has significantly changed this well-written book still is very functional and efficient.".

A seminal, much-cited account of combinatorial group theory — coauthored by a distinguished teacher of mathematics and a pair of his colleagues — this text for graduate students features numerous helpful exercises.

The book begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and by: I would suggest the book. Groups, Graphs and Trees an introduction to the geometry of infinite groups by John Meier.; This is an excellent introductory text.

It is well written, covers a broad range of topics in geometric and combinatorial group theory, and contains lots of examples (every second chapter is a study of an example).

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 pages.

This includes a substantial and useful bibliography; (over ÄitemsÜ). the book is a valuable and welcome addition to the literature, containing many results not previously.

The reader might wish to consult the book by Chandler, Bruce and Wilhelm Magnus, The History of Combinatorial Group Theory: A Case Study in the History of Ideas, Studies in the History of Mathermatics and the Physical Sciences 9 (), Springer-Verlag, New York, Heidelberg, Size: KB. 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 pages. This includes a substantial and useful bibliography; (over (items)). the book is a valuable and welcome addition to the literature, containing many results not previously.

A seminal, much-cited account of combinatorial group theory coauthored by a distinguished teacher of mathematics and a pair of his colleagues this text for graduate students features numerous helpful exercises.

The book begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups/5(4). This book is an account of several quite different approaches to Artin's braid groups, involving self-distributive algebra, uniform finite trees, combinatorial group theory, mapping class groups, laminations, and hyperbolic geometry.

Classical Topology and Combinatorial Group Theory book. Read reviews from world’s largest community for readers. In recent years, many students have been /5(4). Combinatorial Group Theory by Roger C.

Lyndon,available at Book Depository with free delivery worldwide. 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.

Combinatorial group theory book Geometric Group Theory Preliminary Version Under revision. The goal of this book is to present several central topics in geometric group theory, primarily related to the large scale geometry of infinite groups and spaces on which such groups act, and to illustrate them with fundamental theorems such as Gromov’s Theorem on groups of polynomial growth.

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 pages.

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 pages. [ ] a valuable and welcome addition to the literature, containing many Price: $ 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 pages. Combinatorial Group Theory (PDF 99P) This explains the following topics: Free groups and presentations, Construction of new groups, Properties, embeddings and examples, Subgroup Theory and Decision Problems.

Author(s): Charles F. Miller. *frontmatter, pg. i*contents, pg. v*preface, pg. vii*problems in combinatorial group theory, pg. 3*poincare duality groups of dimension two are surface groups, pg. 35*how to generalize one-relator group theory, pg. 53*graphical theory of automorphisms of free groups, pg.

79*peak reduction and automorphisms of free groups and free products, pg. Combinatorial Group Theory and Topology. (AM), Volume - Ebook written by S. Gersten, John R. Stallings. Read this book using Google Play Books app on your PC, android, iOS devices.

Download for offline reading, highlight, bookmark or take notes while you read Combinatorial Group Theory and Topology.

(AM), Volume Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics, from evolutionary biology to computer science, etc.

To fully understand the scope of combinatorics. The book under review consists of two monographs on geometric aspects of group theory: Combinatorial group theory and fundamental groups» by s and ang : «Some problems of group theory related to geometry» by chuk and nov.

Together, these two articles form a wide-ranging survey of combinatorial. $\begingroup$ The main application of the topology developed in this book is to group theory, specifically to topics which naturally arise in the study of combinatorial group theory, e.g.

free products, Schreier transversals, Kurosh subgroup theorem, Grushko's theorem. See chapters 3, 6, and 7. Combinatorial Group Theory Group Theory via Generators and Relations B Sury Group theory revolutionized not only mathematics but also other sciences.

A combinatorial way of describing groups is by what are called generators and relations. In this article, our purpose is to discuss this combinatorial way of describing groups and some of the. In the book Lyndon, Schupp, Combinatorial Group Theory, P in the edition from They mention an unpublished work by Waldhausen that is said to give an algorithm to determine whether two reference-request -theory free-groups combinatorial-group-theory.

Book Description. Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology. The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state-of-the-art in these areas.

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Perhaps the most famous problem in graph theory concerns map coloring: Given a map of some countries, how many colors are required to color the map so that countries sharing a border get ﬀt colors. It was long conjectured that any map could be colored with four colors, and this was nally proved in Here is an example of a small.

The first was entitled Combinatorial Group Theory, Discrete Groups and Number Theory and was held at Fairfield University, December 8–9, 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, Summary.

Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology.

The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state-of-the-art in these areas.

Combinatorial Group Theory A Topological Approach London Mathematical Society Student Texts range of services for both traditionally and self-published authors. What we offer. Newsletter Promo. Promote your discounted or free book. Combinatorial Group Theory A Topological In this book, developed from courses taught at the University of London.

Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century. This book is divided into three fairly independent parts. Part I provides a brief exposition of several classical techniques in combinatorial group theory, namely, methods of Nielsen, Whitehead, and Tietze.

The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low.

A significant source of abstract groups is given by the construction of a factor group, or quotient group, G/H, of a group G by a normal subgroup H. Class groups of algebraic number fields were among the earliest examples of factor groups, of much interest in number a group G is a permutation group on a set X, the factor group G/H is no longer acting on X; but the idea of an abstract.

"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 pages. This includes a substantial and useful bibliography; (over (items)). the book is a valuable and welcome addition to the literature, containing.

A synthesis of theoretical and practical research on combinatorial auctions from the perspectives of economics, operations research, and computer science.

With a foreword by Vernon L. Smith, recipient of the Nobel Prize in study of combinatorial auctions—auctions in which bidders can bid on combinations of items or "packages"—draws on the disciplines of economics. Combinatorial group theory and topology by Gersten, S.

M; Stallings, John R. (John Robert), Publication date Topics Combinatorial group theory, Topology Borrow this book to access EPUB and PDF files. IN COLLECTIONS. Books to Borrow. Books for Pages: Classical Topology and Combinatorial Group Theory Hardcover – Aug.

4 by John Stillwell (Author) out of 5 stars 1 rating. See all 6 formats and editions Hide other formats and editions. Amazon Price New from Used from 4/5(1). : Classical Topology and Combinatorial Group Theory. Graduate Texts in Mathematics 72 () by Stillwell, John and a great selection of similar New, Used and Collectible Books available now at great prices/5(4).

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This site is like a library, Use search box in the. J.P. Serre's book Trees. Combinatorial Group Theory by Roger C Lyndon and Paul E Schupp. Buildings: Theory and Applications by Abramenko, Peter and Brown, Kenneth S. Topological Methods in Group Theory by Ross Geoghegan.

Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups by John Meier.This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Building on the foundations laid a quarter of a century ago in the volume Two-dimensional Homotopy and Combinatorial Group Theory (LMS ), the editors here bring together much remarkable progress that has been obtained in the intervening years.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 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.