Topics in geometric group theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chicago, Ill.
Univ. of Chicago Press
2003
|
| Ausgabe: | [Nachdr.] |
| Schriftenreihe: | Chicago lectures in mathematics series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 334 S. graph. Darst. |
| ISBN: | 0226317196 0226317218 |
Internformat
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| 245 | 1 | 0 | |a Topics in geometric group theory |c Pierre de la Harpe |
| 250 | |a [Nachdr.] | ||
| 264 | 1 | |a Chicago, Ill. |b Univ. of Chicago Press |c 2003 | |
| 300 | |a VI, 334 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a Chicago lectures in mathematics series | |
| 650 | 0 | 7 | |a Geometrische Gruppentheorie |0 (DE-588)4651615-3 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804143849540419584 |
|---|---|
| adam_text | CONTENTS
Intraduction
1
I. Gauss circle problem and
Pólya s
random walks on lattices
5
I.A.
The circle problem
5
I.B.
Pőlya s
recurrence theorem
7
II. Free products and free groups
17
H.A.
Free products of groups
17
II.B. The Table-Tennis Lemma (Klein s criterion) and examples
of free products
25
III. Finitely-generated groups
43
III.A. Finitely-generated and infinitely-generated groups
43
Ш.В.
Uncountably many groups with two generators (B.H.
Neumann s method)
60
ІИ.С.
On groups with two generators
68
III.D. On finite quotients of the modular group
71
IV. Finitely-generated groups viewed as metric spaces
75
TVA. Word
lengths and Cayley graphs
75
IV.B. Quasi-isometries
84
V. Finitely-presented groups
117
V.A. Finitely-presented groups
117
V.B. The
Poincaré
theorem on fundamental polygons
135
V.C. On fundamental groups and curvature in Riemannian
geometry
145
V.D. Complement on Gromov s hyperbolic groups
148
VI. Growth of finitely-generated groups
151
VIA. Growth functions and growth series of groups
151
VLB. Generalities on growth types
167
VI.C. Exponential growth rate and entropy
180
vi
CONTENTS
VII.
Groups of exponential or polynomial growth
187
VILA. On groups of exponential growth
187
VII.B. On uniformly exponential growth
194
VII.C. On groups of polynomial growth
197
VII.D. Complement on other kinds of growth
206
VIII.
The first Grigorchuk group
211
VIII.A. Rooted d-axy trees and their automorphisms
211
VITI.B. The group
Γ
as an answer to one of Burnside s
problems
217
VIII.C. On some subgroups of
Γ
225
VTILD. Congruence subgroups
236
VIILE.
Word problem and non-existence of finite
presentations
240
VIII.F. Growth
248
VIII.G. Exercises and complements
259
References
265
Index of research problems
295
Appendix: Corrections and Updates
299
Subject index
323
|
| any_adam_object | 1 |
| author | La Harpe, Pierre de |
| author_GND | (DE-588)108064158 |
| author_facet | La Harpe, Pierre de |
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| author_sort | La Harpe, Pierre de |
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| building | Verbundindex |
| bvnumber | BV037240067 |
| classification_rvk | SK 260 |
| ctrlnum | (OCoLC)315843134 (DE-599)BVBBV037240067 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | [Nachdr.] |
| format | Book |
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| id | DE-604.BV037240067 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:54:12Z |
| institution | BVB |
| isbn | 0226317196 0226317218 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021153570 |
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| physical | VI, 334 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Univ. of Chicago Press |
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| series2 | Chicago lectures in mathematics series |
| spelling | La Harpe, Pierre de Verfasser (DE-588)108064158 aut Topics in geometric group theory Pierre de la Harpe [Nachdr.] Chicago, Ill. Univ. of Chicago Press 2003 VI, 334 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chicago lectures in mathematics series Geometrische Gruppentheorie (DE-588)4651615-3 gnd rswk-swf Geometrische Gruppentheorie (DE-588)4651615-3 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021153570&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | La Harpe, Pierre de Topics in geometric group theory Geometrische Gruppentheorie (DE-588)4651615-3 gnd |
| subject_GND | (DE-588)4651615-3 |
| title | Topics in geometric group theory |
| title_auth | Topics in geometric group theory |
| title_exact_search | Topics in geometric group theory |
| title_full | Topics in geometric group theory Pierre de la Harpe |
| title_fullStr | Topics in geometric group theory Pierre de la Harpe |
| title_full_unstemmed | Topics in geometric group theory Pierre de la Harpe |
| title_short | Topics in geometric group theory |
| title_sort | topics in geometric group theory |
| topic | Geometrische Gruppentheorie (DE-588)4651615-3 gnd |
| topic_facet | Geometrische Gruppentheorie |
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