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Office Hours with a Geometric Group Theorist - Princeton Scholarship Online
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Office Hours with a Geometric Group Theorist

Dan Margalit and Matt Clay


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. 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-p ... More

Keywords: geometric group theory, free group, quasi-isometry group, Dehn function, Gromov hyperbolicity, asymptotic dimension, Coxeter group, Thompson's group, right-angled Artin group, lamplighter group

Bibliographic Information

Print publication date: 2017 Print ISBN-13: 9780691158662
Published to Princeton Scholarship Online: May 2018 DOI:10.23943/princeton/9780691158662.001.0001


Affiliations are at time of print publication.

Dan Margalit, editor
Georgia Institute of Technology

Matt Clay, editor
University of Arkansas

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Part 1 Groups and Spaces

Office Hour One Groups

Matt Clay and Dan Margalit

Office Hour Two … and Spaces

Matt Clay and Dan Margalit

Part 2 Free Groups

Part 3 Large Scale Geometry

Office Hour Seven Quasi-isometries

Dan Margalit and Anne Thomas

Office Hour Ten Ends of Groups

Nic Koban and John Meier

Part 4 Examples

Office Hour Fourteen Right-Angled Artin Groups

Robert W. Bell and Matt Clay

Office Hour Seventeen Mapping Class Groups

Tara Brendle, Leah Childers, and Dan Margalit

End Matter