Office hours with a geometric group theorist / edited by Matt Clay and Dan Margalit.
Office hours with a geometric group theorist / edited by Matt Clay and Dan Margalit.
About this item
Full title
Publisher
Princeton, New Jersey : Princeton University Press, [2017]
Call Numbers
G 2019/3390
Record Identifier
MMS ID
Language
English
Formats
Physical Description
Physical content
xii, 441 pages : illustrations ; 24 cm.
Content type
three-dimensional form
text
Media type
unmediated
Carrier type
volume
Contents
pt. 1 GROUPS AND SPACES -- 1.Groups / Dan Margalit -- 1.1.Groups -- 1.2.Infinite groups -- 1.3.Homomorphisms and normal subgroups -- 1.4.Group presentations -- 2.... and Spaces / Dan Margalit -- 2.1.Graphs -- 2.2.Metric spaces -- 2.3.Geometric group theory: groups and their spaces -- pt. 2 FREE GROU...
pt. 3 LARGE SCALE GEOMETRY -- 7.Quasi-isometries / Anne Thomas -- 7.1.Example: the integers -- 7.2.Bi-Lipschitz equivalence of word metrics -- 7.3.Quasi-isometric equivalence of Cayley graphs -- 7.4.Quasi-isometries between groups and spaces -- 7.5.Quasi-isometric rigidity -- 8.Dehn Functions / Timo...
11.2.Motivating examples -- 11.3.Large-scale geometry -- 11.4.Topology and dimension -- 11.5.Large-scale dimension -- 11.6.Motivating examples revisited -- 11.7.Three questions -- 11.8.Other examples -- 12.Growth of Groups / Eric Freden -- 12.1.Growth series -- 12.2.Cone types -- 12.3.Formal languag...
15.4.Geometry of the Cayley graph -- 15.5.Generalizations -- 16.Thompson's Group / Sean Cleary -- 16.1.Analytic definition and basic properties -- 16.2.Combinatorial definition -- 16.3.Presentations -- 16.4.Algebraic structure -- 16.5.Geometric properties -- 17.Mapping Class Groups / Dan Margalit --...
Publication information
Publisher
Princeton, New Jersey : Princeton University Press, [2017]
Place of Publication
New Jersey
Date Published
[2017]
Subjects
More information
Scope and Contents
Summary
"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...
Alternative Titles
Full title
Office hours with a geometric group theorist / edited by Matt Clay and Dan Margalit.
Authors, Artists and Contributors
Author / Artists
Notes
General note
Includes bibliographical references and index.
Identifiers
Primary Identifiers
Call Numbers
G 2019/3390
Record Identifier
74VKVB8vX683
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/74VKVB8vX683
Other Identifiers
ISBN
9780691158662
0691158665
DDC
512/.2
MMS ID
991024242012302626