6 edition of **Combinatorial and Geometric Group Theory** found in the catalog.

- 181 Want to read
- 20 Currently reading

Published
**July 1, 2002**
by American Mathematical Society
.

Written in English

- Algebraic geometry,
- Combinatorics & graph theory,
- Groups & group theory,
- Mathematics,
- Science/Mathematics,
- Group Theory,
- Combinatorics,
- Geometry - General,
- Combinatorial group theory,
- Congresses,
- Geometric group theory

**Edition Notes**

Contributions | Sean Cleary (Editor) |

The Physical Object | |
---|---|

Format | Paperback |

Number of Pages | 275 |

ID Numbers | |

Open Library | OL11419997M |

ISBN 10 | 0821828223 |

ISBN 10 | 9780821828229 |

Find many great new & used options and get the best deals for Trends in Mathematics Ser.: Combinatorial and Geometric Group Theory: Dortmund and Ottawa-Montreal Conferences (, Hardcover) at the best online prices at eBay! Free shipping for many products! Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a .

The field of geometric group theory emerged from Gromov’s insight that even mathematical objects such as groups, which are defined completely in algebraic terms, can be profitably viewed as geometric objects and studied with geometric techniques Contemporary geometric group theory has broadened its scope considerably, but retains this basic philosophy of reformulating in geometric terms. This book quickly introduces beginners to general group theory and then focuses on three main themes: finite group theory, including sporadic groups; combinatorial and geometric group theory, including the Bass-Serre theory of groups acting on trees; the theory of train tracks by Bestvina and Handel for automorphisms of free groups.

Combinatorial and Geometric Group Theory Vanderbilt University Nashville, TN, USA May 5–10, Geometric group theory attacks these problems from a geometric viewpoint, either by viewing groups as geometric objects, or by finding suitable geometric objects a group acts on. The first idea is made precise by means of the Cayley graph, whose vertices correspond to group elements and edges correspond to right multiplication in the group.

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The ICMS Workshop on Geometric and Combinatorial Methods in Group Theory, held at Heriot-Watt University in brought together some of the leading research workers in the subject. Here are collected some of the survey articles and contributed papers at the meeting.

Interesting articles about a very modern and active field of mathematics; Representation of different aspects of modern geometrical and combinatorial group theory: from group actions on spaces to algorithmic problems passing through cryptography applications.

Combinatorial and Geometric Group Theory Dortmund and Ottawa-Montreal Conferences. 24 Citations; k Downloads; Part of the Trends in Mathematics book series (TM) Log in to check access.

Buy eBook. USD Instant download Group theory algebraic geometry combinatorics geometric group theory graphs. Editors and affiliations. Oleg. Acta Scientiarum Mathematicarum, Ungarn, “ 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.

An interested student may wish to peruse the book Office Hours with a Geometric Group Theorist, edited by Matt Clay & Dan Margalit to get a feel for some of the topics in geometric group theory.

For combinatorial group theory I suggest browsing through Combinatorial Group Theoryby Lyndon and Shupp. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.

Readership Graduate students and research mathematicians interested in combinatorial and geometric group theory. Combinatorial and Geometric Group Theory Robert Gilman, Alexei G. Myasnikov, Vladimir Shpilrain, Sean Cleary (ed.) 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.

The Wikipedia Geometric Group Theory page is a good place to start for an overview. There are problem lists available at the Geometric Group Theory Wiki, the New York Group Theory Cooperative, Mladen Bestvina's page, and Rob Kirby's page. Jon McCammond maintains a Geometric Group Theory. Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling.

Discrepancy theory is currently at a crossroads between number theory, combinatorics, Fourier analysi. 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.

Chapter 2 is devoted completely to the group theory of graphs, as a warm up to the study of the fundamental group in the next chapter. The fundamental group is defined to be an equivalence class of maps, and with the exception of the circle, it is calculated using deformation retraction and the Seifert-Van Kampen by: This volume assembles research papers in geometric and combinatorial group theory.

This wide area may be defined as the study of those groups that are defined by their action on a combinatorial or geometric object, in the spirit of Klein’s programme.

ISBN: OCLC Number: Notes: "ICMS Workshop on Geometric and Combinatorial Methods in Group Theory, held at Heriot-Watt University in "--Cover p. 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). Buy Combinatorial and Geometric Group Theory: Dortmund and Ottawa-Montreal conferences (Trends in Mathematics) on FREE SHIPPING on qualified orders Combinatorial and Geometric Group Theory: Dortmund and Ottawa-Montreal conferences (Trends in Mathematics): Bogopolski, Oleg, Bumagin, Inna, Kharlampovich, Olga, Ventura, Enric.

Get this from a library. Combinatorial and geometric group theory: Edinburgh, [Andrew J Duncan; N D Gilbert; James Howie;] -- The ICMS Workshop on Geometric and Combinatorial Methods in Group Theory, held at Heriot-Watt University in brought together some of the leading research workers in the subject.

Here are. In mathematics, combinatorial group theory is the theory of free groups, and the concept of a presentation of a group by generators and is much used in geometric topology, the fundamental group of a simplicial complex having in a natural and geometric way such a presentation.

A very closely related topic is geometric group theory, which today largely subsumes combinatorial group. This volume assembles research papers in geometric and combinatorial group theory.

This wide area may be defined as the study of those groups that are defined by their action on a combinatorial or geometric object, in the spirit of Klein’s programme. The contributions range over a wide spectrum.

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. Magnus, A. Karass, D. Solitar,Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations (Dover Publications, ).

de la Harpe, Topics in Geometric Group Theory, (University of Chicago Press, ). 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: This volume assembles several research papers in all areas of geometric and combinatorial group theory originated in the recent conferences in Dortmund and Ottawa in It contains high quality refereed articles developping new aspects of these modern and active fields in mathematics.

It is Author: Oleg Bogopolski.The papers in this book represent the current state of knowledge in group theory. It includes articles of current interest written by such scholars as S.M.

Gersten, R.I. Grigorchuk, P.H. Kropholler, A. Lubotsky, A.A. Razborov and E. Zelmanov. The contributed articles, all refereed, cover a Price: $