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Office hours with a geometric group ...

Clay, Matt

Office hours with a geometric group theorist

紀錄類型:	書目-語言資料,印刷品 : 單行本
其他作者:	ClayMatt,
其他作者:	MargalitDan, 1976-
出版地:	Princeton, N.J.
出版者:	Princeton University Press;
出版年:	c2017
面頁冊數:	xii, 441 p.ill. (some col.) : 24 cm.;
標題:	Geometric group theory -
附註:	Includes bibliographical references (p. [419]-436) and index
摘要註:	"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 Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. [This book] brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics .... 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 1st course in abstract algebra, [the book] also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects"--Back cover
ISBN:	978-0-691-15866-2
內容註:	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

Office hours with a geometric group theorist
Office hours with a geometric group theorist / edited by Matt Clay and Dan Margalit - Princeton, N.J. : Princeton University Press, c2017. - xii, 441 p. ; ill. (some col.) ; 24 cm..
Groups / Matt Clay and Dan Margalit.
Includes bibliographical references (p. [419]-436) and index.
ISBN 978-0-691-15866-2
Geometric group theory

Clay, Matt

Office hours with a geometric group theorist
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215 1 $a xii, 441 p. $c ill. (some col.) $d 24 cm.
300 $a Includes bibliographical references (p. [419]-436) and index
327 1 $a Groups / Matt Clay and Dan Margalit $a ...and spaces / Matt Clay and Dan Margalit $a Groups acting on trees / Dan Margalit $a Free groups and folding / Matt Clay $a The ping-pong lemma / Johanna Mangahas $a Automorphisms of free groups / Matt Clay $a Quasi-isometries / Dan Margalit and Anne Thomas $a Dehn functions / Timothy Riley $a Hyperbolic groups / Moon Duchin $a Ends of groups / Nic Koban and John Meier $a Asymptotic dimension / Greg Bell $a Growth of groups / Eric Freden $a Coxeter groups / Adam Piggott $a Right-angled artin groups / Robert W. Bell and Matt Clay $a Lamplighter groups / Jennifer Taback $a Thompson's group / Sean Cleary $a Mapping class groups / Tara Brendle, Leah Childers, and Dan Margalit $a Braids / Aaron Abrams
330 $a "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 Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. [This book] brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics .... 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 1st course in abstract algebra, [the book] also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects"--Back cover
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