Office Hours with a Geometric Group Theorist
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Abstract algebra
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Age Group_Uncategorized
Algebraic topology
Artin group
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Automorphism
B01=Dan Margalit
B01=Matt Clay
Braid group
Cantor set
Category1=Non-Fiction
Category=PBG
Category=PBM
Cayley graph
Characterization (mathematics)
Class of groups
Commutator subgroup
Computer algebra system
Concatenation (mathematics)
Conjugacy class
Connectivity (graph theory)
COP=United States
Coxeter group
Cycle graph (algebra)
Dehn twist
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Diagram (category theory)
Disjoint union
eq_isMigrated=2
eq_nobargain
Euclidean space
Finitely generated group
Floor and ceiling functions
Formal power series
Free group
Function (mathematics)
Fundamental group
Geometric group theory
Geometry
Graph (discrete mathematics)
Graph automorphism
Graph coloring
Graph isomorphism
Graph of a function
Group (mathematics)
Group action
Homeomorphism
Homomorphism
Homotopy
Hyperbolic geometry
Integer
Intersection (set theory)
Intersection number (graph theory)
Interval (mathematics)
Knot theory
Language_English
Line graph
Linear algebra
Mapping class group
Mathematical induction
Mathematics
Metric space
Number line
PA=Available
Pair of pants (mathematics)
Parity (mathematics)
Planar algebra
Price_€50 to €100
Proportionality (mathematics)
PS=Active
Quadratic function
Quasi-isometry
Right angle
Semidirect product
Set (mathematics)
Sign (mathematics)
Simplicial complex
softlaunch
Subgroup
Subset
Theorem
Topology
Train track (mathematics)
Variable (mathematics)
Word metric
Word problem (mathematics)
Product details
- ISBN 9780691158662
- Weight: 482g
- Dimensions: 152 x 235mm
- Publication Date: 11 Jul 2017
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
- Language: English
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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 Poincare, 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.
Matt Clay is associate professor of mathematics at the University of Arkansas. Dan Margalit is professor of mathematics at the Georgia Institute of Technology. He is the coauthor of A Primer on Mapping Class Groups (Princeton).
