Generalized Quadrangles and Projective Axes of Symmetry
dc.contributor.author | Steinke, G.F. | |
dc.contributor.author | van Maldeghem, H. | |
dc.date.accessioned | 2014-12-04T22:56:51Z | |
dc.date.available | 2014-12-04T22:56:51Z | |
dc.date.issued | 2010 | en |
dc.description.abstract | We investigate generalized quadrangles Γ that admit at least two projective axes of symmetry. We show that if there are three such axes incident with a common point x, then x is a translation point of Γ. In case that Γ is moreover a compact connected quadrangle with topological parameters (p, p), p 2 N, then ?? is a topological translation generalized quadrangle. We further investigate the case of two opposite projective axes of symmetry and obtain a characterization of the dual of the symplectic quadrangle over R or C among compact connected quadrangles with equal topological parameters. | en |
dc.identifier.citation | Steinke, G.F., van Maldeghem, H. (2010) Generalized Quadrangles and Projective Axes of Symmetry. Beitraege zur Algebra und Geometrie, 51(1), pp. 191-207. | en |
dc.identifier.issn | 0440-1298 | |
dc.identifier.uri | http://hdl.handle.net/10092/9994 | |
dc.language.iso | en | |
dc.publisher | University of Canterbury. Mathematics and Statistics | en |
dc.rights.uri | https://hdl.handle.net/10092/17651 | en |
dc.subject.anzsrc | Fields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490402 - Algebraic and differential geometry | en |
dc.title | Generalized Quadrangles and Projective Axes of Symmetry | en |
dc.type | Journal Article |