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Office hours with a geometric group theorist / edited by Matt Clay and Dan Margalit.

Contributor(s): Clay, Matt [editor.] | Margalit, Dan, 1976- [editor.].
Material type: materialTypeLabelBookPublisher: Princeton, New Jersey : Princeton University Press, [2017]Copyright date: �2017Description: 1 online resource (xii, 441 pages) : illustrations (some color).Content type: text Media type: computer Carrier type: online resourceISBN: 9781400885398; 1400885396.Subject(s): Geometric group theory | Th�eorie g�eom�etrique des groupes | MATHEMATICS -- Algebra -- Intermediate | MATHEMATICS -- Geometry -- General | Geometric group theoryGenre/Form: Electronic books.Additional physical formats: Print version:: No title; Print version:: No titleDDC classification: 512.2 Online resources: Click here to access online
Contents:
Groups / Matt Clay and Dan Margalit -- ... and spaces / Matt Clay and Dan Margalit -- Groups acting on trees / Dan Margalit -- Free groups and folding / Matt Clay -- The ping-pong lemma / Johanna Mangahas -- Automorphisms of free groups / Matt Clay -- Quasi-isometries / Dan Margalit and Anne Thomas -- Dehn functions / Timothy Riley -- Hyperbolic groups / Moon Duchin -- Ends of groups / Nic Koban and John Meier -- Asymptotic dimension / Greg Bell -- Growth of groups / Eric Freden -- Coxeter groups / Adam Piggott -- Right-angled artin groups / Robert W. Bell and Matt Clay -- Lamplighter groups / Jennifer Taback -- Thompson's group / Sean Cleary -- Mapping class groups / Tara Brendle, Leah Childers, and Dan Margalit -- Braids / Aaron Abrams.
Summary: Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincar�e, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups--actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.
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Includes bibliographical references and index.

Online resource; title from PDF title page (EBSCO, viewed June 6, 2017).

Groups / Matt Clay and Dan Margalit -- ... and spaces / Matt Clay and Dan Margalit -- Groups acting on trees / Dan Margalit -- Free groups and folding / Matt Clay -- The ping-pong lemma / Johanna Mangahas -- Automorphisms of free groups / Matt Clay -- Quasi-isometries / Dan Margalit and Anne Thomas -- Dehn functions / Timothy Riley -- Hyperbolic groups / Moon Duchin -- Ends of groups / Nic Koban and John Meier -- Asymptotic dimension / Greg Bell -- Growth of groups / Eric Freden -- Coxeter groups / Adam Piggott -- Right-angled artin groups / Robert W. Bell and Matt Clay -- Lamplighter groups / Jennifer Taback -- Thompson's group / Sean Cleary -- Mapping class groups / Tara Brendle, Leah Childers, and Dan Margalit -- Braids / Aaron Abrams.

Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincar�e, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups--actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.

In English.

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