## Bulletin of the Belgian Mathematical Society - Simon Stevin

### New near polygons from Hermitian varieties

Bart De Bruyn

#### 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

https://projecteuclid.org/euclid.bbms/1070645802

Digital Object Identifier
doi:10.36045/bbms/1070645802

Mathematical Reviews number (MathSciNet)
MR2040531

Zentralblatt MATH identifier
1115.51002

#### 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