منابع مشابه
Isometric embeddings of the near polygons Hn and Gn into dual polar spaces
We prove that for every n ∈ N \ {0, 1} there exists up to isomorphism a unique isometric embedding of the near polygon Hn into the dual polar space DW (2n−1, 2) and a unique isometric embedding of the near polygon Gn into the dual polar space DH(2n− 1, 4).
متن کاملSome Extensions and Embeddings of Near Polygons
Let (P, L, *) be a near polygon having 8 + 1 points per line, s > 1, and suppose k is a field. Let Vk be the k-vector space with basis {vp | p € P}. Then the subspace generated by the vectors v1 = Lp*l vp, where l 6 L, has codimension at least 2 in Vk. This observation is used in two ways. First we derive the existence of certain diagram geometries with flag transitive automorphism group, and s...
متن کاملcompactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولCompatible spreads of symmetry in near polygons
In De Bruyn [7] it was shown that spreads of symmetry of near polygons give rise to many other near polygons, the so-called glued near polygons. In the present paper we will study spreads of symmetry in product and glued near polygons. Spreads of symmetry in product near polygons do not lead to new glued near polygons. The study of spreads of symmetry in glued near polygons gives rise to the no...
متن کاملA Note on Regular Near Polygons
In this note we prove several inequalities for regular near polygons. ∗This work was partly supported by the Grant-in-Aid for Scientific Research (No 14740072), the Ministry of Education, Science and Culture, JAPAN. †This work was partly done when the author was at the ComMaC center at the Pohang University of Science and Technology. He would like to thank the ComMaC-KOSEF for its support.
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 1994
ISSN: 0046-5755,1572-9168
DOI: 10.1007/bf01264034