Oligomorphic permutation groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge u.a.
Cambridge Univ. Press
1990
|
| Edition: | 1. publ. |
| Series: | London Mathematical Society: London Mathematical Society lecture note series
152 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 160 S. Ill., graph. Darst. |
| ISBN: | 0521388368 |
Staff View
MARC
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| 245 | 1 | 0 | |a Oligomorphic permutation groups |c Peter J. Cameron |
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| 264 | 1 | |a Cambridge u.a. |b Cambridge Univ. Press |c 1990 | |
| 300 | |a VIII, 160 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804118297507004416 |
|---|---|
| adam_text | vii
Contents
1 Background 1
1.1 History and notation 3
1.2 Permutation groups 6
1.3 Model theory 10
1.4 Category and measure 13
1.5 Ramsey s Theorem 16
2 Preliminaries 19
2.1 The objects of study 21
2.2 Reduction to the countable case 24
2.3 The canonical relational structure 26
2.4 Topology 27
2.5 The Ryll Nardzewski Theorem 30
2.6 Homogeneous structures 32
2.7 Strong amalgamation 36
2.8 Appendix: Two proofs 39
2.9 Appendix: Quantifier elimination and model completeness 42
2.10 Appendix: The random graph 45
3 Examples and growth rates 49
3.1 Monotonicity 51
3.2 Direct and wreath products 54
3.3 Some primitive groups 57
3.4 Homogeneity and transitivity 61
3 5 /„ = /n+1 64
3.6 Growth rates 68
3.7 Appendix: Cycle index 73
3.8 Appendix: A graded algebra 78
viii
4 Subgroups 81
4.1 Beginnings 83
4.2 A theorem of Macpherson 85
4.3 The random graph revisited 86
4.4 Measure, continued 91
4.5 Category 95
4.6 Multicoloured sets 98
4.7 Almost all automorphisms? 103
4.8 Subgroups of small index 106
4.9 Normal subgroups 110
4.10 Appendix: The tree of an age 111
5. Miscellaneous topics 117
5.1 Jordan groups 119
5.2 Going forth 124
5.3 No categorical, w stable structures 129
5.4 An example 134
5.5 Another example 137
5.6 Oligomorphic projective groups 139
5.7 Orbits on infinite sets 142
References 145
Index 155
|
| any_adam_object | 1 |
| author | Cameron, Peter J. 1947- |
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| discipline | Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV004066905 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:08:04Z |
| institution | BVB |
| isbn | 0521388368 |
| language | English |
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| physical | VIII, 160 S. Ill., graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society lecture note series |
| series2 | London Mathematical Society: London Mathematical Society lecture note series |
| spelling | Cameron, Peter J. 1947- Verfasser (DE-588)120275929 aut Oligomorphic permutation groups Peter J. Cameron 1. publ. Cambridge u.a. Cambridge Univ. Press 1990 VIII, 160 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 152 Modelltheorie (DE-588)4114617-7 gnd rswk-swf Oligomorphe Permutationsgruppe (DE-588)4242859-2 gnd rswk-swf Permutationsgruppe (DE-588)4173833-0 gnd rswk-swf Permutationsgruppe (DE-588)4173833-0 s DE-604 Oligomorphe Permutationsgruppe (DE-588)4242859-2 s Modelltheorie (DE-588)4114617-7 s London Mathematical Society: London Mathematical Society lecture note series 152 (DE-604)BV000000130 152 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002543222&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cameron, Peter J. 1947- Oligomorphic permutation groups London Mathematical Society: London Mathematical Society lecture note series Modelltheorie (DE-588)4114617-7 gnd Oligomorphe Permutationsgruppe (DE-588)4242859-2 gnd Permutationsgruppe (DE-588)4173833-0 gnd |
| subject_GND | (DE-588)4114617-7 (DE-588)4242859-2 (DE-588)4173833-0 |
| title | Oligomorphic permutation groups |
| title_auth | Oligomorphic permutation groups |
| title_exact_search | Oligomorphic permutation groups |
| title_full | Oligomorphic permutation groups Peter J. Cameron |
| title_fullStr | Oligomorphic permutation groups Peter J. Cameron |
| title_full_unstemmed | Oligomorphic permutation groups Peter J. Cameron |
| title_short | Oligomorphic permutation groups |
| title_sort | oligomorphic permutation groups |
| topic | Modelltheorie (DE-588)4114617-7 gnd Oligomorphe Permutationsgruppe (DE-588)4242859-2 gnd Permutationsgruppe (DE-588)4173833-0 gnd |
| topic_facet | Modelltheorie Oligomorphe Permutationsgruppe Permutationsgruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002543222&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT cameronpeterj oligomorphicpermutationgroups |