Dense Near Octagons with Four Points on Each Line, III
نویسندگان
چکیده
منابع مشابه
The classification of the slim dense near octagons
We classify all dense near octagons with three points on each line.
متن کاملOn Sets Which Meet Each Line in Exactly Two Points
ABSTRACT Using techniques from geometric measure theory and descriptive set theory we prove a general result concerning sets in the plane which meet each straight line in exactly two points As an application we show that no such two point set can be expressed as the union of countably many recti able sets together with a set with Hausdor measure zero Also as another corollary we show that no an...
متن کاملOn the Finiteness of Near Polygons with 3 Points on Every Line
Let S be a near polygon of order (s, t) with quads through every two points at distance 2. The near polygon S is called semifinite if exactly one of s and t is finite. We show that S cannot be semifinite if s = 2 and derive upper bounds for t .
متن کاملNon-abelian representations of the slim dense near hexagons on 81 and 243 points
We prove that the near hexagon Q(5,2)× L3 has a non-abelian representation in the extra-special 2-group 21+12 + and that the near hexagon Q(5,2)⊗Q(5,2) has a non-abelian representation in the extra-special 2-group 21+18 − . The description of the non-abelian representation of Q(5,2)⊗Q(5,2) makes use of a new combinatorial construction of this near hexagon.
متن کاملA simplex with dense extreme points
© Annales de l’institut Fourier, 1961, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Combinatorics
سال: 2011
ISSN: 0218-0006,0219-3094
DOI: 10.1007/s00026-011-0080-y