Search Results - Generalized quadrangles and generalized polygons in finite geometry

New results on bipartite biregular cages, block designs, and generalized polygons

Authors: Gabriela Araujo-Pardo György Kiss Tamás Szőnyi

Source: Boletín de la Sociedad Matemática Mexicana. 31

Subject Terms: generalized polygons, girth, Extremal problems in graph theory, Steiner systems, Finite affine and projective planes (geometric aspects), Generalized quadrangles and generalized polygons in finite geometry, Enumeration in graph theory, bipartite biregular cages, Combinatorial aspects of block designs

File Description: application/xml

Access URL: https://zbmath.org/7969365
https://doi.org/10.1007/s40590-024-00700-w

Low Rank Groups of Lie Type Acting Point- and Line-Primitively on Finite Generalised Quadrangles: Low rank groups of Lie type acting point- and line-primitively on finite generalised quadrangles

Authors: Arumugam, Vishnuram Bamberg, John Giudici, Michael

Source: The Electronic Journal of Combinatorics. 32

Subject Terms: 51E12 (Primary), 20B25 (Secondary), Suzuki groups, primitive groups, Finite automorphism groups of algebraic, geometric, or combinatorial structures, generalized quadrangle, Ree groups, FOS: Mathematics, Group Theory (math.GR), Generalized quadrangles and generalized polygons in finite geometry, Mathematics - Group Theory

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Access URL: http://arxiv.org/abs/2405.03790

Moufang-like conditions for generalized quadrangles and classification of all finite quasi-transitive generalized quadrangles: Moufang-like conditions for generalized quadrangles and classification of all finite quasi-transi\-tive generalized quadrangles

Authors: Koen Thas Hendrik Van Maldeghem

Source: Discrete Mathematics. 294:203-217

Subject Terms: k-Moufang generalized quadrangle, Elation generalized quadrangle, Finite automorphism groups of algebraic, geometric, or combinatorial structures, generalized quadrangle, BN-pair, Group actions on designs, etc, 0102 computer and information sciences, 01 natural sciences, Moufang quadrangle, Linear algebraic groups over arbitrary fields, Theoretical Computer Science, Groups with a \(BN\)-pair, buildings, Quasi-transitive generalized quadrangle, Discrete Mathematics and Combinatorics, Combinatorial aspects of finite geometries, Generalized quadrangles and generalized polygons in finite geometry, Moufang condition, 0101 mathematics, Infinite automorphism groups

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Access URL: https://dblp.uni-trier.de/db/journals/dm/dm294.html#ThasM05
https://core.ac.uk/display/55830015
https://www.sciencedirect.com/science/article/pii/S0012365X05000282
https://biblio.ugent.be/publication/334276

Locally finite generalized quadrangles with at most five points per line

Authors: Gregory Cherlin

Source: Discrete Mathematics. 291:73-79

Subject Terms: indiscernible, generalized quadrangle, Ramsey theory, Ramsey theorem, 0102 computer and information sciences, 01 natural sciences, Theoretical Computer Science, model theory, finite geometry, Discrete Mathematics and Combinatorics, Combinatorial aspects of finite geometries, Model theory, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics

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Access URL: https://zbmath.org/2157539
https://doi.org/10.1016/j.disc.2004.04.021
https://dblp.uni-trier.de/db/journals/dm/dm291.html#Cherlin05a
https://www.sciencedirect.com/science/article/abs/pii/S0012365X04004054
https://www.sciencedirect.com/science/article/pii/S0012365X04004054

A characterization of the classical generalized quadrangle Q(5,q) and the nonexistence of certain near polygons: A characterization of the classical generalized quadrangle \(\mathcal Q(5,q)\) and the nonexistence of certain near polygons

Authors: Koen Thas

Source: Journal of Combinatorial Theory, Series A. 103:105-120

Subject Terms: Computational Theory and Mathematics, elation generalized quadrangle, Discrete Mathematics and Combinatorics, 0102 computer and information sciences, Generalized quadrangles and generalized polygons in finite geometry, spread of symmetry, 0101 mathematics, 01 natural sciences, Theoretical Computer Science

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Access URL: https://zbmath.org/1957281
https://doi.org/10.1016/s0097-3165(03)00074-8
https://www.sciencedirect.com/science/article/pii/S0097316503000748
https://www.sciencedirect.com/science/article/abs/pii/S0097316503000748
https://biblio.ugent.be/publication/358185
https://dblp.uni-trier.de/db/journals/jct/jcta103.html#Thas03

Lax Embeddings of Generalized Quadrangles in Finite Projective Spaces: Lax embeddings of generalized quadrangles in finite projective spaces

Authors: Joseph A. Thas H. Van Maldeghem

Source: Proceedings of the London Mathematical Society. 82:402-440

Subject Terms: lax embeddings, projective space, generalized quadrangle, Combinatorial structures in finite projective spaces, 0102 computer and information sciences, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics, 01 natural sciences

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Access URL: https://academic.oup.com/plms/article/82/2/402/1448590
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024611501012680
http://doi.wiley.com/10.1112/S0024611501012680
https://cage.ugent.be/~hvm/artikels/96.pdf
https://biblio.ugent.be/publication/137389

The Automorphism Group of a Compact Generalized Polygon has Finite Dimension: The automorphism group of a compact generalized polygon has finite dimension

Authors: Bernhild Stroppel Markus Stroppel

Source: Monatshefte f�r Mathematik. 127:343-347

Subject Terms: Homomorphism, automorphism and dualities in linear incidence geometry, generalized polygon, finite dimensional, automorphism group, Topological linear incidence structures, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics, 01 natural sciences, compact polygon

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Access URL: https://link.springer.com/article/10.1007%2Fs006050050046

The Classification of Finite Generalized Quadrangles Admitting a Group Acting Transitively on Ordered Pentagons: The classification of finite generalized quadrangles admitting a group acting transitively on ordered pentagons

Authors: Joseph A. Thas H. Van Maldeghem

Source: Journal of the London Mathematical Society. 51:209-218

Subject Terms: generalized polygons, Finite automorphism groups of algebraic, geometric, or combinatorial structures, generalized quadrangle, 0102 computer and information sciences, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics, 01 natural sciences

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Access URL: https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/51.2.209
https://academic.oup.com/jlms/article/51/2/209/847199
https://core.ac.uk/display/55742038
https://cage.ugent.be/~hvm/artikels/45.pdf
https://biblio.ugent.be/publication/194469

Generalized quadrangles weakly embedded in finite projective space

Authors: Joseph A. Thas H. Van Maldeghem

Source: Journal of Statistical Planning and Inference. 73:353-361

Subject Terms: projective space, weak embedding, generalized quadrangle, 0102 computer and information sciences, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics, 01 natural sciences

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Access URL: https://cage.ugent.be/~hvm/artikels/69.pdf
https://www.sciencedirect.com/science/article/pii/S037837589800069X
https://biblio.ugent.be/publication/180383

Finite generalized quadrangles as the union of few large subquadrangles

Authors: H. Van Maldeghem

Source: Discrete Mathematics. :589-605

Subject Terms: generalized quadrangles, Finite generalized quadrangles, Polar subspaces, 0102 computer and information sciences, 01 natural sciences, Theoretical Computer Science, Polar geometry, symplectic spaces, orthogonal spaces, Polar spaces, polar spaces, Discrete Mathematics and Combinatorics, Subquadrangles, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics, subquadrangles

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Access URL: https://zbmath.org/1369811
https://doi.org/10.1016/s0012-365x(99)00100-4
https://biblio.ugent.be/publication/111449
https://dblp.uni-trier.de/db/journals/dm/dm208.html#Maldeghem99
https://doi.org/10.1016/S0012-365X(99)00100-4
http://cage.ugent.be/~hvm/artikels/81.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0012365X99001004

On Finite Elation Generalized Quadrangles with Symmetries: On finite elation generalized quadrangles with symmetries

Authors: Hachenberger, Dirk

Source: Journal of the London Mathematical Society. 53:397-406

Subject Terms: ddc:510, Verallgemeinertes Viereck, elation generalized quadrangle, 0102 computer and information sciences, 01 natural sciences, Translation , Galois-Erweiterung, p-Gruppe, Kantor family, Galois-Feld, Translationsgruppe, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics, translation transversal designs

File Description: application/xml; application/pdf

Access URL: https://opus.bibliothek.uni-augsburg.de/opus4/files/999/Pub_Hachenberger_1996_3.pdf
https://zbmath.org/932070
https://doi.org/10.1112/jlms/53.2.397
https://opus.bibliothek.uni-augsburg.de/opus4/files/999/Pub_Hachenberger_1996_3.pdf
https://core.ac.uk/display/24741024
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/year/2008/docId/999
https://academic.oup.com/jlms/article-abstract/53/2/397/943126/
https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/jlms/53.2.397
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/999
https://opus.bibliothek.uni-augsburg.de/opus4/files/999/Pub_Hachenberger_1996_3.pdf
https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-8558
https://doi.org/10.1112/jlms/53.2.397

Finite distance-transitive generalized polygons

Authors: Buekenhout, Francis van Maldeghem, Hendrik

Source: Geometriae Dedicata. 52:41-51

Subject Terms: Secondary, octagons, half-Moufang hexagons, Géométrie, distance transitive, 0102 computer and information sciences, Simple groups, 01 natural sciences, 51E12, finite generalized polygons, finite simple groups, Mathematics Subject Classifications (1991): Primary, 20Exx, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics

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Access URL: https://difusion.ulb.ac.be/vufind/Record/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/166467/Details
https://cage.ugent.be/~hvm/artikels/38.pdf
https://biblio.ugent.be/publication/199596
https://rd.springer.com/article/10.1007/BF01263523
https://link.springer.com/article/10.1007/BF01263523

C2·c Geometries and Generalized Quadrangles of Order (s − 1, s + 1): \(C_ 2.c\) geometries and generalized quadrangles of order \((s - 1, s + 1)\)

Authors: DEL FRA A. PASINI A. DEL FRA, A. et al.

Contributors: DEL FRA A. PASINI A. DEL FRA, A. et al.

Source: Results in Mathematics. 22:489-508

Subject Terms: generalized quadrangles, Buildings and the geometry of diagrams, Buekenhout geometry, partial geometry, 0102 computer and information sciences, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics, 01 natural sciences

File Description: application/xml; STAMPA

Access URL: https://zbmath.org/86366
https://doi.org/10.1007/bf03323102
https://link.springer.com/article/10.1007/BF03323102
https://rd.springer.com/article/10.1007/BF03323102

Finite locally generalized quadrangles with affine planes

Authors: Hans Cuypers

Source: European Journal of Combinatorics. 13:439-453

Subject Terms: Polar geometry, symplectic spaces, orthogonal spaces, standard quotient, Computational Theory and Mathematics, generalized quadrangle, Geometry and Topology, 0102 computer and information sciences, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics, affine polar space, 01 natural sciences, Theoretical Computer Science

File Description: application/xml

Access URL: https://zbmath.org/109274
https://doi.org/10.1016/0195-6698(92)90003-i
https://research.tue.nl/en/publications/e5e1e645-5629-4c2a-beee-455e380c6662
https://doi.org/10.1016/0195-6698(92)90003-I
https://www.sciencedirect.com/science/article/abs/pii/019566989290003I
https://dblp.uni-trier.de/db/journals/ejc/ejc13.html#Cuypers92b
https://www.sciencedirect.com/science/article/pii/019566989290003I
https://doi.org/10.1016/0195-6698(92)90003-I
https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2Fe5e1e645-5629-4c2a-beee-455e380c6662

Spreads and ovoids in finite generalized quadrangles

Authors: Joseph A. Thas Stanley E. Payne

Source: Geometriae Dedicata. 52:227-253

Subject Terms: spreads, finite generalized quadrangles, survey, 0102 computer and information sciences, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics, ovoids, 01 natural sciences, Finite partial geometries (general), nets, partial spreads

File Description: application/xml

Access URL: https://zbmath.org/679546
https://doi.org/10.1007/bf01278475
https://link.springer.com/article/10.1007/BF01278475
https://link.springer.com/content/pdf/10.1007/BF01278475.pdf
https://biblio.ugent.be/publication/199837

Desarguesian finite generalized quadrangles are classical or dual classical

Authors: Joseph A. Thas Stanley E. Payne H. Van Maldeghem

Source: Designs, Codes and Cryptography. 1:299-305

Subject Terms: Generalized quadrangles and generalized polygons in finite geometry, desarguesian finite generalized quadrangle

File Description: application/xml

Access URL: https://biblio.ugent.be/publication/220912
https://link.springer.com/content/pdf/10.1007/BF00124605.pdf
https://dblp.uni-trier.de/db/journals/dcc/dcc1.html#MaldeghemPT91
https://link.springer.com/article/10.1007/BF00124605

Cyclical Deformations of Quadrangles in $$S_\kappa^2$$ and Defining Properties of Alexandrov Spaces: Cyclical deformations of quadrangles in \(S_\kappa^2\) and defining properties of Alexandrov spaces

Authors: Qing Song Cai

Source: Acta Mathematica Sinica, English Series. 37:597-640

Subject Terms: CBB spaces, Global geometric and topological methods (à la Gromov), differential geometric analysis on metric spaces, CBA spaces, 0103 physical sciences, spherical quadrangle, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics, Global surface theory (convex surfaces à la A. D. Aleksandrov), Alexandrov spaces, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/7347406
https://doi.org/10.1007/s10114-021-9462-1
https://link.springer.com/content/pdf/10.1007/s10114-021-9462-1.pdf
https://link.springer.com/article/10.1007/s10114-021-9462-1

Centering small generalized polygons–projective pottery at work: Centering small generalized polygons-projective pottery at work

Authors: Burkard Polster

Source: Discrete Mathematics. 256:373-386

Subject Terms: generalized polygons, Generalized quadrangle, Generalized hexagon, 0103 physical sciences, Generalized polygon, Combinatorial structures in finite projective spaces, Discrete Mathematics and Combinatorics, Generalized quadrangles and generalized polygons in finite geometry, 01 natural sciences, Models of geometries, Theoretical Computer Science

File Description: application/xml

Access URL: https://zbmath.org/1838932
https://doi.org/10.1016/s0012-365x(02)00530-7
https://www.sciencedirect.com/science/article/pii/S0012365X02005307
https://dblp.uni-trier.de/db/journals/dm/dm256.html#Polster02
https://dl.acm.org/doi/10.1016/S0012-365X%2802%2900530-7
https://research.monash.edu/en/publications/centering-small-generalized-polygons-projective-pottery-at-work

A generalized quadrangle with an automorphism group acting regularly on the points

Authors: Satoshi Yoshiara

Source: European Journal of Combinatorics. 28:653-664

Subject Terms: Computational Theory and Mathematics, Combinatorial aspects of finite geometries, Geometry and Topology, 0102 computer and information sciences, Generalized quadrangles and generalized polygons in finite geometry, 0101 mathematics, 01 natural sciences, Theoretical Computer Science

File Description: application/xml

Access URL: https://zbmath.org/1789051

symmetry in generalized quadrangles: Symmetry in generalized quadrangles

Authors: Koen Thas

Source: Designs, Codes and Cryptography. 29(1):227-245

Subject Terms: generalized quadrangle, Combinatorial structures in finite projective spaces, Group actions on designs, etc, Combinatorial aspects of finite geometries, Generalized quadrangles and generalized polygons in finite geometry, axis of symmetry

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023%2FA%3A1024168928527
https://dblp.uni-trier.de/db/journals/dcc/dcc29.html#Thas03
https://biblio.ugent.be/publication/358186
https://link.springer.com/content/pdf/10.1023/A:1024168928527.pdf