Published January 27, 1995
by Cambridge University Press .
Written in English
|Contributions||Andrew J. Duncan (Editor), N. D. Gilbert (Editor), James Howie (Editor)|
|The Physical Object|
|Number of Pages||335|
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. 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. Summary: An authoritative collection of surveys and papers, ranging over a wide number of topics in combinatorial and geometric group theory and related topics. As a summary of the state of . Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the groups in question are realized as geometric symmetries or continuous transformations of some spaces).
D. Cohen, The mathematician who had little wisdom: a story and some mathematics in "Combinatorial and Geometric Group Theory Edinburgh "(ed. A. Duncan, N. Gilbert, and J. Howie), London. 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. From the Publisher: This study in combinatorial group theory introduces the concept of automatic groups. It contains a succinct introduction to the theory of regular languages, a discussion of related topics in combinatorial group theory, and the connections between automatic groups and geometry which motivated the development of this new theory. 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.
In: Combinatorial and Geometric Group Theory (Edinburgh, ). London Mathematical Society Lecture Note Series, vol. , pp. – Cambridge University Press, Cambridge () Google Scholar A very closely related topic is geometric group theory, which today largely subsumes combinatorial group theory, using techniques from outside combinatorics besides. It also comprises a number of algorithmically insoluble problems, most notably the word problem for . Abstract This is the first installment of a book on combinatorial and geometric group theory from the topological point of view. This is a classical subject. The installment contains Chapters 1, 3. 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: $