Upload File

notes on hyperbolic groups - city university of new yorkmath.hunter.cuny.edu/olgak/hyperbolic...

  • Home
  • Documents
  • Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
53

Upload: hathuan

Post on 06-Jun-2018

216 views

Category:

Documents


0 download

Report

TRANSCRIPT

Page 1: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 2: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 3: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 4: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 5: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 6: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 7: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 8: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 9: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 10: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 11: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 12: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 13: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 14: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 15: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 16: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 17: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 18: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 19: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 20: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 21: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 22: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 23: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 24: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 25: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 26: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 27: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 28: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 29: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 30: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 31: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 32: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 33: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 34: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 35: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 36: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 37: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 38: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 39: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 40: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 41: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 42: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 43: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 44: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 45: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 46: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 47: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 48: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 49: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 50: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 51: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 52: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,
Page 53: Notes on hyperbolic groups - City University of New Yorkmath.hunter.cuny.edu/olgak/hyperbolic groups/MSRInotes2004.pdfnotes on word hyperbolic groups j. m. alonso, t. brady, d. cooper,

Quasiconvexity in Word-Hyperbolic Coxeter Groupsabel.harvard.edu/theses/senior/levine/adam_levine.pdf · Quasiconvexity in Word-Hyperbolic Coxeter Groups Adam Simon Levine Mathematics

Quasiconvex Subgroups and Nets in Hyperbolic Groups

Local rigidity of hyperbolic right-angled Coxeter groups in ...han/slide2019/yukita.pdfCoxeter groups in dimension 4 and 5 Tomoshige Yukita Contents Section 1 Section 2 Hyperbolic

HYPERBOLIC GRAPHS OF SURFACE GROUPS - arXivarXiv:0801.3696v2 [math.GR] 14 Aug 2009 HYPERBOLIC GRAPHS OF SURFACE GROUPS Abstract We give a sufficient condition under which the fundamental

Boundaries of hyperbolic groups - Mathematics | Illinois

MAXIMAL SYMMETRY GROUPS OF HYPERBOLIC 3–MANIFOLDSnzjm.math.auckland.ac.nz/images/0/0f/Maximal_symmetry... · 2015-06-23 · MAXIMAL SYMMETRY GROUPS OF HYPERBOLIC 3–MANIFOLDS 39

Elementary subgroups of torsion-free hyperbolic groups · 2014-10-05 · Elementary embeddings in hyperbolic groups Obtaining a non-injective reretractionp From reretractionp to hyperbolic

Hyperbolic Coxeter groups and their finite simple cousins

Hyperbolic manifolds, discrete groups and ergodic …people.math.harvard.edu/~ctm/home/text/class/harvard/275/...topological 3-manifolds Mare hyperbolic; that is, Mis homeomorphic

ONE FAMILY OF HYPERBOLIC SPACE GROUPS WITH SIMPLICIAL DOMAINS

Hyperbolic Groups Lecture Notes

Hyperbolic Geometry & Kleinian Groups · Hyperbolic Geometry & Kleinian Groups Author: Greg Jackson Supervisor: Dr. Jesse Ratzkin Updated September 30, 2013. ii Plagiarism Declaration

Complex hyperbolic quasi-Fuchsian groupsjplatis/CHQF.pdf · 4 Complex hyperbolic quasi-Fuchsian groups complex hyperbolic geometry was hardly studied at all. Later, work of Chen and

Quasiconvexity in Word-Hyperbolic Coxeter Groups

Hyperbolic Ornaments - Drawing in Non-Euclidean Crystallographic Groups · 2009. 6. 10. · Hyperbolic Geometry Anatomy of the Hyperbolic Plane Definition (Hyperbolic Axiom of Parallels)

Integers, Modular Groups, and Hyperbolic Spacegeosym.mik.uni-pannon.hu/images/presentations/johnson.pdf · 2016-05-05 · Integers, Modular Groups, and Hyperbolic Space NORMAN W

QUASI-HYPERBOLIC PLANES IN RELATIVELY HYPERBOLIC GROUPS

HYPERBOLIC GROUPS AND THEIR QUOTIENTS OF BOUNDED EXPONENTS · 2018-11-16 · HYPERBOLIC GROUPS AND THEIR QUOTIENTS OF BOUNDED EXPONENTS 2093 As a matter of fact, when proving Theorem

Subgroups of Lacunary Hyperbolic Groups and Free Products · 2020-02-21 · Subgroups of Lacunary Hyperbolic Groups and Free Products Krishnendu Khan Abstract A nitely generated group

KNAPSACK IN HYPERBOLIC GROUPS - eti.uni-siegen.de · KNAPSACK IN HYPERBOLIC GROUPS MARKUS LOHREY Abstract. Recently knapsack problems have been generalized from the in-tegers to arbitrary

The Kadison-Kaplansky conjecture for word-hyperbolic groups · The Kadison-Kaplansky conjecture for word-hyperbolic groups Michael Puschnigg Institut de Math´ematiques de Luminy,

Pogorelov polyhedra, Coxeter groups and … at Mohali, December 1{6, 2017 Pogorelov polyhedra, Coxeter groups and hyperbolic 3-manifolds When hyperbolic geometry, algebraic topology

Maximal symmetry groups of hyperbolic 3-manifoldsconder/preprints/3... · 2006-03-25 · Maximal symmetry groups of hyperbolic 3-manifolds Marston Conder∗ Gaven Martin† Anna Torstensson

One-Variable Equations Over Hyperbolic Groups

Assembly Maps, K-Theory, and Hyperbolic GroupsKey words. Cyclic cohomology, elliptic group ¢ocycles, generalized assembly map, hyperbolic groups. Introduction The classical assembly

Boundaries of hyperbolic groups - Harvard Universitypeople.math.harvard.edu/~ctm/home/text/others/benakli/bdry/bdry.pdf · Boundaries of hyperbolic groups ... Geometry and the study

Conformal dimension and Gromov hyperbolic groups with … · 2008-02-01 · Conformal dimension and Gromov hyperbolic groups with 2–sphere boundary 221 We derive Theorem 1.1 from

Geometric structures and representations of discrete groups · Groups dividingΩ are never Gromov hyperbolic (Benoist [2004]); for d = 4 they are relatively hyperbolic ... 3.3 AdS

Coxeter groups, hyperbolic cubes, and acute triangulations · 10/07/2013  · Coxeter groups, hyperbolic cubes, and acute triangulations S. Kim and G. Walsh July 10, 2013 Abstract

Maximal symmetry groups of hyperbolic 3-manifolds

Conjugacy of finite subsets in hyperbolic groups

Integral lattices and hyperbolic reflection groups

Bounded cohomology and isometry groups of hyperbolic spaces · Bounded cohomology and isometry groups of hyperbolic spaces Received August 5, 2005 and in revised form September 25,

Coxeter groups, quiver mutations and hyperbolic manifoldsmaths.dur.ac.uk/users/anna.felikson/talks/refl-mut-man.pdf · Coxeter groups, quiver mutations and hyperbolic manifolds Anna

Relatively hyperbolic groups. B. H. Bowditchhomepages.warwick.ac.uk/~masgak/papers/bhb-relhyp.pdfRelatively hyperbolic groups. B. H. Bowditch Faculty of Mathematical Studies, University