Advanced search
Publication Cover
Experimental Mathematics Volume 24, 2015 - Issue 1
Submit an article Journal homepage
62
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Every Generalized Quadrangle of Order 5 Having a Regular Point Is Symplectic

Bart De BruynDepartment of Mathematics, Ghent University, Ghent, BelgiumCorrespondence[email protected]
Pages 45-52 | Published online: 30 Jan 2015

References

  • [Ahrens and Szekeres 69] R. W. Ahrens and G. Szekeres. “On a Combinatorial Generalization of 27 Lines Associated with a Cubic Surface.” J. Austral. Math. Soc. 10 (1969), 485–492.
  • [Benson 70] C. T. Benson. “On the Structure of Generalized Quadrangles.” J. Algebra 15 (1970), 443–454.
  • [De Bruyn 99] B. De Bruyn. “Generalized Quadrangles with a Spread of Symmetry.” European J. Combin. 20 (1999), 759–771.
  • [De Bruyn 08a] B. De Bruyn. “The Uniqueness of the Generalized Quadrangle of Order 5 with an Axis of Aymmetry.” Ars Combin. 88 (2008), 203–216.
  • [De Bruyn 08b] B. De Bruyn. “A coordinatization structure for generalized quadrangles with a regular spread.” European J. Combin. 29 (2008), 242–253.
  • [De Soete and Thas 88] M. De Soete and J. A. Thas. “A Coordinatization of Generalized Quadrangles of Order (s, s + 2).” J. Combin. Theory Ser. A 48 (1988), 1–11.
  • [Dixmier and Zara 76] S. Dixmier and F. Zara. “Étude d’un quadrangle généralisé autour de deux de ses points non liés.” Preprint, 1976.
  • [Hall 71] M. Hall, Jr. “Affine Generalized Quadrilaterals.” In Studies in Pure Mathematics, edited by L. Mirsky, pp. 113–116. Academic Press, 1971.
  • [Payne 71a] S. E. Payne. “Nonisomorphic Generalized Quadrangles.” J. Algebra 18 (1971), 201–212.
  • [Payne 71b] S. E. Payne. “The Equivalence of Certain Generalized Quadrangles.” J. Combinatorial Theory Ser. A 10 (1971), 284–289.
  • [Payne 77a] S. E. Payne. “Generalized Quadrangles of Order 4. I.” J. Combinatorial Theory Ser. A 22 (1977), 267–279.
  • [Payne 77b] S. E. Payne. “Generalized Quadrangles of Order 4. II.” J. Combinatorial Theory Ser. A 22 (1977), 280–288.
  • [Payne and Thas 09] S. E. Payne and J. A. Thas. Finite Generalized Quadrangles, second edition, EMS Series of Lectures in Mathematics. European Mathematical Society, Zurich, 2009.
  • [Singleton 66] R. Singleton. “On Minimal Graphs of Maximum Even Girth.” J. Combinatorial Theory 1 (1966), 306–332.
  • [Tallini 71] G. Tallini. “Strutture di incidenza dotate di polarità.” Rend. Sem. Mat. Fis. Milano 41 (1971), 75–113.
  • [Thas 09] J. A. Thas. “A Characterization of the Generalized Quadrangle W(q) and Applications.” Trends in Incidence and Galois Geometries: A Tribute to Giuseppe Tallini, 299–310, Quad. Mat., 19, Dept. Math., Seconda Univ. Napoli, Caserta, 2009.
  • [Tits 59] J. Tits. “Sur la trialité et certains groupes qui s’en déduisent.” Inst. Hautes Etudes Sci. Publ. Math. 1959, 13–60.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.