|Other titles||Geometric group theory, Dortmund and Carleton Conferences|
|Statement||Oleg Bogopolski ... [et al.].|
|Series||Trends in mathematics, Trends in mathematics|
|LC Classifications||QA182.5 .C653 2010|
|The Physical Object|
|Pagination||viii, 315 p. :|
|Number of Pages||315|
|LC Control Number||2010926413|
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).