Office hours with a geometric group theorist /
edited by Matt Clay and Dan Margalit.
- 1 online resource (xii, 441 pages) : illustrations (some color)
Includes bibliographical references and index.
Groups / ... and spaces / Groups acting on trees / Free groups and folding / The ping-pong lemma / Automorphisms of free groups / Quasi-isometries / Dehn functions / Timothy Riley -- Hyperbolic groups / Ends of groups / Asymptotic dimension / Growth of groups / Coxeter groups / Right-angled artin groups / Lamplighter groups / Thompson's group / Mapping class groups / Braids / Matt Clay and Dan Margalit -- Matt Clay and Dan Margalit -- Dan Margalit -- Matt Clay -- Johanna Mangahas -- Matt Clay -- Dan Margalit and Anne Thomas -- Moon Duchin -- Nic Koban and John Meier -- Greg Bell -- Eric Freden -- Adam Piggott -- Robert W. Bell and Matt Clay -- Jennifer Taback -- Sean Cleary -- Tara Brendle, Leah Childers, and Dan Margalit -- 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.
9781400885398 1400885396
22573/ctt1vwmkm3 JSTOR 9453426 IEEE
2016960820
Geometric group theory.
Th�eorie g�eom�etrique des groupes.
MATHEMATICS--Algebra--Intermediate.
MATHEMATICS--Geometry--General.
Geometric group theory.
Electronic books.
QA183 / .O44 2017
512.2
Includes bibliographical references and index.
Groups / ... and spaces / Groups acting on trees / Free groups and folding / The ping-pong lemma / Automorphisms of free groups / Quasi-isometries / Dehn functions / Timothy Riley -- Hyperbolic groups / Ends of groups / Asymptotic dimension / Growth of groups / Coxeter groups / Right-angled artin groups / Lamplighter groups / Thompson's group / Mapping class groups / Braids / Matt Clay and Dan Margalit -- Matt Clay and Dan Margalit -- Dan Margalit -- Matt Clay -- Johanna Mangahas -- Matt Clay -- Dan Margalit and Anne Thomas -- Moon Duchin -- Nic Koban and John Meier -- Greg Bell -- Eric Freden -- Adam Piggott -- Robert W. Bell and Matt Clay -- Jennifer Taback -- Sean Cleary -- Tara Brendle, Leah Childers, and Dan Margalit -- 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.
9781400885398 1400885396
22573/ctt1vwmkm3 JSTOR 9453426 IEEE
2016960820
Geometric group theory.
Th�eorie g�eom�etrique des groupes.
MATHEMATICS--Algebra--Intermediate.
MATHEMATICS--Geometry--General.
Geometric group theory.
Electronic books.
QA183 / .O44 2017
512.2