{"product_id":"office-hours-with-a-geometric-group-theorist-9780691158662","title":"Office Hours with a Geometric Group Theorist","description":"\u003cp\u003eGeometric 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 , Felix Klein, J.H.C. Whitehead, and Max Dehn. \u003ci\u003eOffice Hours with a Geometric Group Theorist\u003c\/i\u003e 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eAn 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. \u003cp\u003e\u003c\/p\u003eAccessible to students who have taken a first course in abstract algebra, \u003ci\u003eOffice Hours with a Geometric Group Theorist\u003c\/i\u003e also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eMatt Clay\u003c\/b\u003e is associate professor of mathematics at the University of Arkansas. \u003cb\u003eDan Margalit\u003c\/b\u003e is professor of mathematics at the Georgia Institute of Technology. He is the coauthor of \u003ci\u003eA Primer on Mapping Class Groups\u003c\/i\u003e (Princeton).\u003cbr\u003e","brand":"Princeton University Press","offers":[{"title":"Default Title","offer_id":50844948332818,"sku":"9780691158662","price":65.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_130194b9-cbcc-40c3-a6f3-7a619056b255.jpg?v=1737337323","url":"https:\/\/surprise-castle.myshopify.com\/products\/office-hours-with-a-geometric-group-theorist-9780691158662","provider":"Surprise Castle","version":"1.0","type":"link"}