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Finite geometries:

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Bibliographic Details
Main Author:	Dembowski, Peter 1928-1971 (Author)
Format:	Book
Language:	German
Published:	Berlin [u.a.] Springer 1997
Edition:	Reprint of the 1968 ed.
Series:	Classics in mathematics
Subjects:	Endliche Geometrie Finite geometries Affine Geometrie Kombinatorik Projektive Geometrie
Online Access:	Inhaltsverzeichnis
Physical Description:	X, 375 S.
ISBN:	3540617868

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MARC


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Record in the Search Index

_version_	1807323601016193024
adam_text	CONTENTS NOTE ON EXPOSITION . XI 1. BASIC CONCEPTS . 1 1.1 FINITE INCIDENCE STRUCTURES . 1 1.2 INCIDENCE PRESERVING MAPS . 8 1.3 INCIDENCE MATRICES . 17 1.4 GEOMETRY OF FINITE VECTOR SPACES . 23 2. DESIGNS . 56 2.1 COMBINATORIAL PROPERTIES . 56 2.2 EMBEDDINGS AND EXTENSIONS . 69 2.3 AUTOMORPHISMS OF DESIGNS . 78 2.4 CONSTRUCTION OF DESIGNS . 92 3. PROJECTIVE AND AFFINE PLANES . 115 3.1 GENERAL RESULTS . 115 3.2 COMBINATORICS OF FINITE PLANES . 137 3.3 CORRELATIONS AND POLARITIES . 151 3.4 PROJECTIVITIES . 157 4. COLLINEATIONS OF FINITE PLANES . 169 4.1 FIXED ELEMENTS AND ORDERS . 169 4.2 COLLINEATION GROUPS . 178 4.3 CENTRAL COLLINEATIONS . 187 4.4 GROUPS WITH FEW ORBITS . 207 5. CONSTRUCTION OF FINITE PLANES . 219 5.1 ALGEBRAIC REPRESENTATIONS . 219 5.2 PLANES OF TYPE IV . 228 5.3 PLANES OF TYPEV . 236 5.4 PLANES OF TYPES I AND II . 246 6. INVERSIVE PLANES . 252 6.1 GENERAL DEFINITIONS AND RESULTS . 252 6.2 COMBINATORICS OF FINITE INVERSIVE PLANES . 262 6.3 AUTOMORPHISMS . 268 6.4 THE KNOWN FINITE MODELS . 273 X CONTENTS 7. APPENDICES . 281 7.1 ASSOCIATION SCHEMES AND PARTIAL DESIGNS . 281 7.2 HJELMSLEV PLANES . 291 7.3 GENERALIZED POLYGONS . 300 7.4 FINITE SEMI-PLANES . 305 BIBLIOGRAPHY . 318 DICTIONARY . 367 SPECIAL NOTATIONS . 369 INDEX . 371
any_adam_object	1
author	Dembowski, Peter 1928-1971
author_GND	(DE-588)120741377
author_facet	Dembowski, Peter 1928-1971
author_role	aut
author_sort	Dembowski, Peter 1928-1971
author_variant	p d pd
building	Verbundindex
bvnumber	BV011081788
callnumber-first	Q - Science
callnumber-label	QA167
callnumber-raw	QA167.2.D46 1997
callnumber-search	QA167.2.D46 1997
callnumber-sort	QA 3167.2 D46 41997
callnumber-subject	QA - Mathematics
classification_rvk	SK 380
classification_tum	MAT 514f
ctrlnum	(OCoLC)257914921 (DE-599)BVBBV011081788
dewey-full	516/.1321 516.13
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	516 - Geometry
dewey-raw	516/.13 21 516.13
dewey-search	516/.13 21 516.13
dewey-sort	3516 213 221
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	Reprint of the 1968 ed.
format	Book
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id	DE-604.BV011081788
illustrated	Not Illustrated
indexdate	2024-08-14T01:14:59Z
institution	BVB
isbn	3540617868
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007424472
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owner_facet	DE-384 DE-91G DE-BY-TUM DE-706 DE-521 DE-634 DE-11 DE-29T
physical	X, 375 S.
publishDate	1997
publishDateSearch	1997
publishDateSort	1997
publisher	Springer
record_format	marc
series2	Classics in mathematics
spelling	Dembowski, Peter 1928-1971 Verfasser (DE-588)120741377 aut Finite geometries Peter Dembowski Reprint of the 1968 ed. Berlin [u.a.] Springer 1997 X, 375 S. txt rdacontent n rdamedia nc rdacarrier Classics in mathematics Endliche Geometrie Finite geometries Affine Geometrie (DE-588)4141566-8 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf Endliche Geometrie (DE-588)4014650-9 gnd rswk-swf Projektive Geometrie (DE-588)4047436-7 gnd rswk-swf Endliche Geometrie (DE-588)4014650-9 s DE-604 Kombinatorik (DE-588)4031824-2 s 1\p DE-604 Affine Geometrie (DE-588)4141566-8 s 2\p DE-604 Projektive Geometrie (DE-588)4047436-7 s 3\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007424472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Dembowski, Peter 1928-1971 Finite geometries Endliche Geometrie Finite geometries Affine Geometrie (DE-588)4141566-8 gnd Kombinatorik (DE-588)4031824-2 gnd Endliche Geometrie (DE-588)4014650-9 gnd Projektive Geometrie (DE-588)4047436-7 gnd
subject_GND	(DE-588)4141566-8 (DE-588)4031824-2 (DE-588)4014650-9 (DE-588)4047436-7
title	Finite geometries
title_auth	Finite geometries
title_exact_search	Finite geometries
title_full	Finite geometries Peter Dembowski
title_fullStr	Finite geometries Peter Dembowski
title_full_unstemmed	Finite geometries Peter Dembowski
title_short	Finite geometries
title_sort	finite geometries
topic	Endliche Geometrie Finite geometries Affine Geometrie (DE-588)4141566-8 gnd Kombinatorik (DE-588)4031824-2 gnd Endliche Geometrie (DE-588)4014650-9 gnd Projektive Geometrie (DE-588)4047436-7 gnd
topic_facet	Endliche Geometrie Finite geometries Affine Geometrie Kombinatorik Projektive Geometrie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007424472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT dembowskipeter finitegeometries

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