منابع مشابه
Antiflag-transitive collineation groups revisited
An antiflag in a projective space is a non-incident point-hyperplane pair. A subgroup G of ΓL(n,q) is antiflag-transitive if it acts transitively on the set of antiflag of PG(n−1,q). In 1979, Cameron and Kantor [2] published a paper determining all antiflagtransitive subgroups of ΓL(n,q). A large part of the motivation was the fact that a group which acts 2-transitively on points is necessarily...
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1. Introduction In this paper we consider some results on the orbits of groups of collineations, or, more generally, on the point and block classes of tactical decompositions, on symmetric balanced incomplete block designs (symmetric BIBD = (v, k, 2)-system=finite 2-plane), and we consider generalizations to (not necessarily symmetric) BIBD and other combinatorial designs. The results are about...
متن کاملOn Some Systems of Collineation Groups
SOME systems of collineation groups which arise in connection with the theory of elliptic functions have been investigated by Klein | and HurwitzJ. One of them is a system in n variables each group of which contains an invariant subgroup of order n. For n SL prime the quotient group with respect to this invariant subgroup is (1, 1) isomorphic with the modular group on two indices of order n(n —...
متن کاملOn Collineation Groups of Finite Projective Spaces
Let V be a vector space of finite dimension n over a finite field GF(q). Let Lk(V ) denote the set of k-dimensional subspaces of V. Several authors have studied groups acting on Lk(V ) for various k. Wagner [9] considered groups which act doubly transitively on LI(V ). Recently Kantor [6] has shown that most groups which act transitively on L2(V) also act doubly transitively on LI(V ). This pap...
متن کاملIrreducible collineation groups with two orbits forming an oval
Let G be a collineation group of a finite projective plane π of odd order fixing an oval Ω . We investigate the case in which G has even order, has two orbits Ω0 and Ω1 on Ω , and the action of G on Ω0 is primitive. We show that if G is irreducible, then π has a G-invariant desarguesian subplane π0 and Ω0 is a conic of π0. © 2007 Elsevier Inc. All rights reserved.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2004
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00492-7