‘On projective planes of type (6, m)’
نویسندگان
چکیده
منابع مشابه
Projective Planes of Type
During the last few years, there has been a mild surge of interest in projective planes of type I-4. This paper is intended to both provide a survey of some recent theorems, and to present some new results concerning these planes. In Section 2, we describe the algebraic setting for these planes. Special attention is given to the structure of the relevant homology groups. In Section 3, some rece...
متن کاملON (k, 6)-GRAPHS ARISING FROM PROJECTIVE PLANES
We study a construction method (first used in a paper by Brown [7] and having been rediscovered by several authors recently) producing small (k, 6)-graphs. We prove that under some conditions the known constructions are best possible in the sense that one cannot hope for smaller examples from this method. Both algebraic and combinatorial tools are used.
متن کاملOn Homologies of Finite Projective Planes*
Study of finite projective planes which have a polarity preserved by many homologies.
متن کاملOn the convex hull of projective planes
We study the finite projective planes with linear programming models. We give a complete description of the convex hull of the finite projective planes of order 2. We give some integer linear programming models whose solution are, either a finite projective (or affine) plane of order n, or a (n + 2)-arc.
متن کاملOn Unitary Polarities of Finite Projective Planes
1. In t roduc t ion . A unitary polarity of a finite projective plane 8P of order q is a polarity 0 having q + 1 absolute points and such that each nonabsolute line contains precisely q + 1 absolute points. Let G{6) be the group of collineations of SP centralizing 6. In [15] and [16], A. Hoffer considered restrictions on G (6) which force SP to be desarguesian. The present paper is a continuati...
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: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 1983
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004100060667