Decomposable Near Polygons

Bart De Bruyn

Department of Pure Mathematics and
Computer Algebra, Ghent University, Galglaan 2, 9000 Gent,
Belgium

bdb@cage.ugent.be

Annals of Combinatorics 8 (3) p.251-267 September, 2004

Abstract:

We give a common construction for
the product and the glued near polygons by generalizing the
glueing construction given in [5]. We call the near
polygons arising from this generalized glueing construction
decomposable or (again) glued. We will study the geodetically
closed sub near polygons of decomposable near polygons. Each
decomposable near hexagon has a nice pair of partitions in
geodetically closed near polygons. We will give a characterization
of the decomposable near polygons using this property.

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