Flag-transitive Steiner designs:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2009
|
| Series: | Frontiers in Mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 124 S. graph. Darst. 240 mm x 170 mm |
| ISBN: | 9783034600019 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | MICHAEL HUBER F I * * ** -TRANSITIVE STEINER .*** * R II ^_, **** *** I
I * I I ** 3 L^# BIRKHAEUSER VERLAG BASEL BOSTON BERLIN CONTENTS PREFACE
VII 1 INCIDENCE STRUCTURES AND STEINER DESIGNS 1 1.1 INTRODUCTION 1 1.2
EXAMPLES 3 1.3 BASIC PROPERTIES AND FISHER S INEQUALITY 7 2 PERMUTATION
GROUPS AND GROUP ACTIONS 11 2.1 INTRODUCTION 11 2.2 DOUBLY TRANSITIVE
PERMUTATION GROUPS 13 3 NUMBER THEORETICAL TOOLS 15 3.1 INTRODUCTION 15
3.2 PRIMITIVE DIVISORS AND ZSIGMONDY S THEOREM 15 4 HIGHLY SYMMETRIC
STEINER DESIGNS 19 4.1 INTRODUCTION 19 4.2 EXAMPLES 20 4.3 BLOCK S LEMMA
AND RELATED RESULTS 23 5 A CENSUS OF HIGHLY SYMMETRIC STEINER DESIGNS 27
5.1 INTRODUCTION 27 5.2 MULTIPLE POINT-TRANSITIVE STEINER DESIGNS 27 5.3
FLAG-TRANSITIVE STEINER DESIGNS 29 6 THE CLASSIFICATION OF
FLAG-TRANSITIVE STEINER QUADRUPLE SYSTEMS 35 6.1 INTRODUCTION 35 6.2
MAIN RESULT 36 6.3 GROUPS OF AUTOMORPHISMS OF AFFINE TYPE 37 6.4 GROUPS
OF AUTOMORPHISMS OF ALMOST SIMPLE TYPE 39 VI CONTENTS 7 THE
CLASSIFICATION OF FLAG-TRANSITIVE STEINER 3-DESIGNS 45 7.1 INTRODUCTION
45 7.2 MAIN RESULT 45 7.3 GROUPS OF AUTOMORPHISMS OF AFFINE TYPE 46 7.4
GROUPS OF AUTOMORPHISMS OF ALMOST SIMPLE TYPE 55 8 THE CLASSIFICATION OF
FLAG-TRANSITIVE STEINER 4-DESIGNS 67 8.1 INTRODUCTION 67 8.2 MAIN RESULT
67 8.3 GROUPS OF AUTOMORPHISMS OF AFFINE TYPE 68 8.4 GROUPS OF
AUTOMORPHISMS OF ALMOST SIMPLE TYPE 70 9 THE CLASSIFICATION OF
FLAG-TRANSITIVE STEINER 5-DESIGNS 93 9.1 INTRODUCTION 93 9.2 MAIN RESULT
93 9.3 GROUPS OF AUTOMORPHISMS OF AFFINE TYPE 94 9.4 GROUPS OF
AUTOMORPHISMS OF ALMOST SIMPLE TYPE 94 10 THE NON-EXISTENCE OF
FLAG-TRANSITIVE STEINER 6-DESIGNS 111 10.1 INTRODUCTION ILL 10.2 MAIN
RESULT ILL 10.3 GROUPS OF AUTOMORPHISMS OF AFFINE TYPE ILL 10.4 GROUPS
OF AUTOMORPHISMS OF ALMOST SIMPLE TYPE 112 BIBLIOGRAPHY 115 INDEX 123
|
| any_adam_object | 1 |
| author | Huber, Michael 1972- |
| author_GND | (DE-588)123128544 |
| author_facet | Huber, Michael 1972- |
| author_role | aut |
| author_sort | Huber, Michael 1972- |
| author_variant | m h mh |
| building | Verbundindex |
| bvnumber | BV035500978 |
| callnumber-first | Q - Science |
| callnumber-label | QA166 |
| callnumber-raw | QA166.3 |
| callnumber-search | QA166.3 |
| callnumber-sort | QA 3166.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 170 SK 890 |
| ctrlnum | (OCoLC)297148425 (DE-599)DNB991267052 |
| dewey-full | 511.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.6 |
| dewey-search | 511.6 |
| dewey-sort | 3511.6 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035500978 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:39:01Z |
| institution | BVB |
| isbn | 9783034600019 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017557203 |
| oclc_num | 297148425 |
| open_access_boolean | |
| owner | DE-20 DE-11 DE-188 |
| owner_facet | DE-20 DE-11 DE-188 |
| physical | IX, 124 S. graph. Darst. 240 mm x 170 mm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Frontiers in Mathematics |
| spelling | Huber, Michael 1972- Verfasser (DE-588)123128544 aut Flag-transitive Steiner designs Michael Huber Basel [u.a.] Birkhäuser 2009 IX, 124 S. graph. Darst. 240 mm x 170 mm txt rdacontent n rdamedia nc rdacarrier Frontiers in Mathematics Steiner systems Diskrete Geometrie (DE-588)4130271-0 gnd rswk-swf Fahnentransitivität (DE-588)4704768-9 gnd rswk-swf Steiner-System (DE-588)4704771-9 gnd rswk-swf Steiner-System (DE-588)4704771-9 s Fahnentransitivität (DE-588)4704768-9 s Diskrete Geometrie (DE-588)4130271-0 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017557203&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Huber, Michael 1972- Flag-transitive Steiner designs Steiner systems Diskrete Geometrie (DE-588)4130271-0 gnd Fahnentransitivität (DE-588)4704768-9 gnd Steiner-System (DE-588)4704771-9 gnd |
| subject_GND | (DE-588)4130271-0 (DE-588)4704768-9 (DE-588)4704771-9 |
| title | Flag-transitive Steiner designs |
| title_auth | Flag-transitive Steiner designs |
| title_exact_search | Flag-transitive Steiner designs |
| title_full | Flag-transitive Steiner designs Michael Huber |
| title_fullStr | Flag-transitive Steiner designs Michael Huber |
| title_full_unstemmed | Flag-transitive Steiner designs Michael Huber |
| title_short | Flag-transitive Steiner designs |
| title_sort | flag transitive steiner designs |
| topic | Steiner systems Diskrete Geometrie (DE-588)4130271-0 gnd Fahnentransitivität (DE-588)4704768-9 gnd Steiner-System (DE-588)4704771-9 gnd |
| topic_facet | Steiner systems Diskrete Geometrie Fahnentransitivität Steiner-System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017557203&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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