Bulletin of the Belgian Mathematical Society - Simon Stevin

New near polygons from Hermitian varieties

Bart De Bruyn

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Abstract

We define a new class of dense near polygons. The unique near $2n$-gon, $n \geq 0$, of this class will be denoted by $\G_n$. We will study the geodetically closed sub near polygons of $\G_n$. We will also determine the complete automorphism group and all spreads of symmetry. New glued near polygons can be constructed from these spreads of symmetry.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 10, Number 4 (2003), 561-577.

Dates
First available in Project Euclid: 5 December 2003

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1070645802

Digital Object Identifier
doi:10.36045/bbms/1070645802

Mathematical Reviews number (MathSciNet)
MR2040531

Zentralblatt MATH identifier
1115.51002

Subjects
Primary: 05B20: Matrices (incidence, Hadamard, etc.)
Secondary: 51E12: Generalized quadrangles, generalized polygons 51E20: Combinatorial structures in finite projective spaces [See also 05Bxx]

Keywords
near polygon hermitean variety generalized quadrangle

Citation

De Bruyn, Bart. New near polygons from Hermitian varieties. Bull. Belg. Math. Soc. Simon Stevin 10 (2003), no. 4, 561--577. doi:10.36045/bbms/1070645802. https://projecteuclid.org/euclid.bbms/1070645802


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