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Monday, April 27, 2020 | History

1 edition of Geometric and cohomological methods in group theory found in the catalog.

Geometric and cohomological methods in group theory

Martin R. Bridson

Geometric and cohomological methods in group theory

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Published by Cambridge University Press in Cambridge, New York .
Written in English


Edition Notes

Statementedited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary
SeriesLondon Mathematical Society lecture note series -- 358, London Mathematical Society lecture note series -- 358.
ContributionsLondon Mathematical Society Symposium on Geometry and Cohomology in Group Theory (2003 : Durham, England)
Classifications
LC ClassificationsQA183 .G43 2009
The Physical Object
Paginationx, 320 p. :
Number of Pages320
ID Numbers
Open LibraryOL24385136M
ISBN 10052175724X
ISBN 109780521757249
LC Control Number2010275265
OCLC/WorldCa428024434


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Geometric and cohomological methods in group theory by Martin R. Bridson Download PDF EPUB FB2

Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group : Martin R.

Bridson. Geometric group theory is a vibrant subject at the heart of modern mathematics. Major survey articles form the backbone of this book, providing an extended tour through a selection of the most important trends in modern geometric group theory, supported by shorter research articles on diverse cturer: Cambridge University Press.

Geometric group theory is a vibrant subject at the heart Geometric and cohomological methods in group theory book modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory.

Geometric and cohomological methods in group theory. [Martin R Bridson; Peter H Kropholler; Ian J Leary;] -- "Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile.

Cambridge Core - Algebra - Geometric and Cohomological Group Theory - edited by Peter H. Kropholler Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites.

Additional Sources for Math Book Reviews; About MAA Reviews; Mathematical Communication; Information for Libraries; Author Resources; Advertise with MAA; Meetings. MAA MathFest.

Register Now; Registration Rates and Other Fees; Exhibitors and Sponsors; Abstracts; Chronological Schedule; Mathematical Sessions. Invited Addresses; Invited Paper. Cohomological Methods in Geometric Group Theory LECTURE TITLES Alexander Berglund (University of Copenhagen) Fri am Rational cohomology of automorphism of highly connected manifolds Michelle Bucher (Universit´e de Gen`eve) Tues pm Isometric properties of bounded cohomology and applications to volumes of representations Abstract.

This carefully written textbook provides a rigorous introduction to this rapidly evolving field whose methods have proven to be powerful tools in neighbouring fields such as geometric topology.

Geometric group theory is the study of finitely generated groups via the geometry of their associated Cayley graphs. Geometric group theory is the study of finitely generated groups via the geometry of their associated Cayley graphs.

It turns out that the essence of the geometry of such groups is captured in the key notion of quasi-isometry, a large-scale version of isometry whose invariants include growth types, curvature conditions, Brand: Springer International Publishing.

Hyperbolic Geometry by Charles Walkden. Purpose of this note is to provide an introduction to some aspects of hyperbolic geometry. Topics covered includes: Length and distance in hyperbolic geometry, Circles and lines, Mobius transformations, The Poincar´e disc model, The Gauss-Bonnet Theorem, Hyperbolic triangles, Fuchsian groups, Dirichlet polygons, Elliptic cycles, The signature of a.

Profinite Graphs and Groups will appeal to students and researchers interested in profinite groups, geometric group theory, graphs and connections with the theory of formal languages. A complete reference on the subject, the book includes historical and bibliographical notes as well as a discussion of open questions and suggestions for further.

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.

Another important idea in geometric group theory is to consider finitely generated groups themselves as geometric objects. This is usually done by studying the Cayley graphs of groups. Geometric Methods for Cohomological Invariants It follows that A0(Gm,H∗) is a free H∗(k)-module on two generators, one in degree 0, the other in degree 1.

In fact, if we write k(Gm) = k(t), it is not difficult to see that the element (t) ∈ H1(k(t)) = k(t)×/(k(t)×)p can be taken as the generator in degree 1. In the last two decades geometric and analytic methods have gained fundamental importance in group theory and have allowed to obtain significant progress in our understanding of groups and the objects on which they act.

They also propelled the resolution of several outstanding problems. Workshop at the Banff International Research Station in Banff, Alberta between Nov 25 and Cohomological methods in geometric group theory.

The book I edited with Simon Salamon. Invitations to Geometry and Topology (Oxford Graduate Texts in Mathematics, OUP, ) The book I edited with Peter Kropholler and Ian Leary. Geometric and Cohomological Methods in Group Theory (London Math Society Lecture Notes [no], CUP, ). This book is about the interplay between algebraic topology and the theory of infinite discrete groups.

It is a hugely important contribution to the field of topological and geometric group theory, and is bound to become a standard reference in the field. To keep the length reasonable and the focus clear, the author assumes the reader knows or can easily learn the necessary algebra, but wants.

Geometric and Cohomological Group Theory. to Schedule of Talks The finiteness properties of classifying spaces for free actions can be studied very efficiently via geometric methods using Brown's criterion.

Our approach gives rise to a wealth of new questions in pure geometric group theory, and if time permits I. This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from to geometry and algebra (e.g.

fundamental groups of manifolds, groups of matrices withintegercoefficients)arefinitelygenerated. Givenafinitegeneratingset Sof a group G, one can define a metric on Gby constructing a connected graph, the program “Geometric Group Theory”, held at MSRI, August to December Geometric Methods for Cohomological Invariants conjecture and algebraic geometry more broadly.

This book presents a coherent suite of computational tools for the study of group cohomology and. I have made contributions to the theory of infinite soluble groups, Poincaré duality groups, splittings of groups and hierarchical decompositions of groups. My recent research has led me to many wider fields of application of these methods.

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Book Review. Bounded Cohomology of Discrete Groups. Book Review. BOOK REVIEWS 4. Michael W. Davis, Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann.

of Math.(2) (), no. 2, – MR (86d) 5. Max Dehn, Papers on group theory and topology, Springer-Verlag, New York,Translated from the German and with introductions and an appendix by John Stillwell, With an appendix.

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This chapter talks about cohomological methods in soluble group theory, soluble groups with finite (co)homological dimension, vanishing theorems, applications to near splitting and conjugacy, and Krophollers’s characterization of finitely generated soluble minimax groups. Find many great new & used options and get the best deals for London Mathematical Society Lecture Note: Geometric and Cohomological Methods in Group Theory (, Paperback) at the best online prices at eBay.

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Geometric and cohomological methods in group theory Home ; Geometric and cohomological methods in group theory, M.R. BRIDSON, P.H. KROPHOLLER & I.J. LEARY (eds) Moduli spaces and vector bundles, L.

BRAMBILA-PAZ, S.B. BRADLOW, O. GARC´IA-PRADA & S. RAMANAN (eds) Zariski geometries, B. ZILBER Words: Notes on verbal width in groups, D. SEGAL. (with M. Bridson, L. Kramer and B. Remy) Geometric group theory, Oberwolfach, June (with B.

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Geometric and cohomological methods in group theory ISBN () Invitations to geometry and topology ISBN () Highlighted Publications. Similar Items. The geometry and topology of coxeter groups / by: Davis, Michael, April Published: () Topics in geometric group theory / by: La Harpe, Pierre de.

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Summarizes the state of the art in geometric and cohomological group theory.