Non-uniform lattices on uniform trees:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2001
|
| Series: | Memoirs of the American Mathematical Society
724 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 152, Number 724 (end of volume) |
| Physical Description: | IX, 127 S. graph. Darst. |
| ISBN: | 0821827219 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804128703216615424 |
|---|---|
| adam_text | CONTENTS
0. Introduction 1
1. Graphs of groups, tree actions and edge indexed graphs 10
1.1 Graphs of groups 10
1.2 Group actions on trees and quotient graphs of groups 11
1.3 Edge indexed graphs and their groupings 12
1.4 Existence of finite groupings 13
2. Aut(X) and its discrete subgroups 16
2.1 Tree lattices 16
2.2 The group Gh of deck transformations 17
2.3 Constructing tree lattices 18
3. Existence of tree lattices 20
3.1 Locally compact groups and their lattices 20
3.2 Lattice Existence Theorem 21
3.3 Existence of non uniform lattices on uniform trees 22
3.4 Existence of non uniform coverings 23
4. Non uniform coverings of indexed graphs with an arithmetic bridge 27
4.1 Geometric and arithmetic bridges in indexed graphs 27
4.2 Changing the ramification factor of an arithmetic bridge 30
4.3 Gluing unimodular subgraphs along connected intersections 31
4.4 Open fanning of arithmetic bridges 33
4.5 Indexed topological coverings 37
4.6 Step 1 Schematic diagram 38
4.7 Step 2 Construct topological covering 39
4.8 Step 3 Change the ramification factor 41
vii
viii CONTENTS
4.9 Step 4 Construct rectangles 43
4.10 Step 5 Glue rectangles iteratively 44
4.11 Step 6 Adjoin bridges 45
4.12 Step 7 Multiple open fanning 55
4.13 Edge with a common factor implies non uniform covering 68
5. Non uniform coverings of indexed graphs with a separating edge 76
6. Non uniform coverings of indexed graphs with a ramified loop 88
7. Eliminating multiple edges 94
7.1 Simplification of a graph with no loops 95
7.2 Graphs with multiplicities 96
7.3 Reduced factorization of an indexed graph 96
7.4 Canonical simplification of a unimodular indexed graph with no loops 97
8. Existence of arithmetic bridges 101
8.1 Unramified Loops 101
8.2 Completion 108
8.3 Suspension 109
8.4 Restriction 114
Bibliography 126
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| id | DE-604.BV013868450 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:53:27Z |
| institution | BVB |
| isbn | 0821827219 |
| language | English |
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| physical | IX, 127 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Carbone, Lisa 1965- Verfasser (DE-588)1146330154 aut Non-uniform lattices on uniform trees Lisa Carbone Providence, RI American Mathematical Society 2001 IX, 127 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 724 Volume 152, Number 724 (end of volume) Baum <Mathematik> - Zusammenhängender Graph - Endlicher Graph Verbandstheorie (DE-588)4127072-1 gnd rswk-swf Baum Mathematik (DE-588)4004849-4 gnd rswk-swf Graphentheorie (DE-588)4113782-6 gnd rswk-swf Verbandstheorie (DE-588)4127072-1 s Baum Mathematik (DE-588)4004849-4 s Graphentheorie (DE-588)4113782-6 s DE-604 Memoirs of the American Mathematical Society 724 (DE-604)BV008000141 724 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009485895&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Carbone, Lisa 1965- Non-uniform lattices on uniform trees Memoirs of the American Mathematical Society Baum <Mathematik> - Zusammenhängender Graph - Endlicher Graph Verbandstheorie (DE-588)4127072-1 gnd Baum Mathematik (DE-588)4004849-4 gnd Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4127072-1 (DE-588)4004849-4 (DE-588)4113782-6 |
| title | Non-uniform lattices on uniform trees |
| title_auth | Non-uniform lattices on uniform trees |
| title_exact_search | Non-uniform lattices on uniform trees |
| title_full | Non-uniform lattices on uniform trees Lisa Carbone |
| title_fullStr | Non-uniform lattices on uniform trees Lisa Carbone |
| title_full_unstemmed | Non-uniform lattices on uniform trees Lisa Carbone |
| title_short | Non-uniform lattices on uniform trees |
| title_sort | non uniform lattices on uniform trees |
| topic | Baum <Mathematik> - Zusammenhängender Graph - Endlicher Graph Verbandstheorie (DE-588)4127072-1 gnd Baum Mathematik (DE-588)4004849-4 gnd Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Baum <Mathematik> - Zusammenhängender Graph - Endlicher Graph Verbandstheorie Baum Mathematik Graphentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009485895&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT carbonelisa nonuniformlatticesonuniformtrees |