共查询到20条相似文献,搜索用时 31 毫秒
1.
2.
If (O) is a quadratic cone in PG(3,q), with vertex x, then a flock of (O) is a partition of (O)-{x} into q disjoint conics. With such a flock there correspond a translation plane of order q
2 and a generalized quadrangle of order (q
2, q). Here we determine all flocks of (O) for q 8. 相似文献
3.
Jin-Ming Chao 《Geometriae Dedicata》1999,74(1):91-94
Let m2(n,q), m2(n,q) be, respectively, the maximum value, the second largest value of k for which there exists a complete k-cap in PG(n,q). In this paper, the known upper bound on m2(3,q), q even, q 8, is improved. This new upper bound on m2(3,q) is then used to improve the upper bounds on m2(n,q), q even, q 8 and n 4. 相似文献
4.
In this paper, k-blocking sets in PG(n, q), being of Rédei type, are investigated. A standard method to construct Rédei type k-blocking sets in PG(n, q) is to construct a cone having as base a Rédei type k-blocking set in a subspace of PG(n, q). But also other Rédei type k-blocking sets in PG(n, q), which are not cones, exist. We give in this article a condition on the parameters of a Rédei type k-blocking set of PG(n, q = p
h
), p a prime power, which guarantees that the Rédei type k-blocking set is a cone. This condition is sharp. We also show that small Rédei type k-blocking sets are linear. 相似文献
5.
Hiroaki Taniguchi 《Graphs and Combinatorics》2007,23(4):455-465
Let q = 2l with l≥ 1 and d ≥ 2. We prove that any automorphism of the d-dimensional dual hyperoval
over GF(q), constructed in [3] for any (d + 1)-dimensional GF(q)-vector subspace V in GF(qn) with n≥ d + 1 and for any generator σ of the Galois group of GF(qn) over GF(q), always fixes the special member X(∞). Moreover, we prove that, in case V = GF(qd+1), two dual hyperovals
and
in PG(2d + 1,q), where σ and τ are generators of the Galois group of GF(qd+1) over GF(q), are isomorphic if and only if (1) σ = τ or (2) σ τ = id. Therefore, we have proved that, even in the case q > 2, there exist non isomorphic d-dimensional dual hyperovals in PG(2d + 1,q) for d ≥ 3. 相似文献
6.
In this article we study minimal1-blocking sets in finite projective spaces PG(n,q),n 3. We prove that in PG(n,q
2),q = p
h
, p prime, p > 3,h 1, the second smallest minimal 1-blockingsets are the second smallest minimal blocking sets, w.r.t.lines, in a plane of PG(n,q
2). We also study minimal1-blocking sets in PG(n,q
3), n 3, q = p
h, p prime, p > 3,q 5, and prove that the minimal 1-blockingsets of cardinality at most q
3 + q
2 + q + 1 are eithera minimal blocking set in a plane or a subgeometry PG(3,q). 相似文献
7.
8.
9.
《Advances in Applied Mathematics》2002,28(3-4):287-301
We show that the simple matroid PG(n − 1, q)\PG(k − 1, q), for n ≥ 4 and 1 ≤ k ≤ n − 2, is characterized by a variety of numerical and polynomial invariants. In particular, any matroid that has the same Tutte polynomial as PG(n − 1, q)\PG(k − 1, q) is isomorphic to PG(n − 1, q)\PG(k − 1, q). 相似文献
10.
We derive a new existence condition for Cameron–Liebler line classes in \(PG(3,q)\) . As an application, we obtain the characterization of Cameron–Liebler line classes in \(PG(n,4),\,n\ge 3\) . 相似文献
11.
12.
13.
In the first part of this paper,we discuss some properties of S~Ω(K_n),L_p~Ω(K_n) andL_p~Ω(K~n;l_a) spaces,give the Plancherel-Polya-Nikol'skij type inequalities and some multipli-er theorems.In the second part of this paper,using the results of Part I we prove some prelimi-nary results for the spaces B_(p,q)~s(K_n) and F_(p,q)~s(K_n). 相似文献
14.
2-(v,k,1)设计和PSL(3,q)(q是奇数) 总被引:1,自引:0,他引:1
丁士锋 《高校应用数学学报(英文版)》2003,18(3)
§ 1 IntroductionA2 -(v,k,1 ) design D=(S,B) consists ofa finite set Sof v points and a collection Bof some subsets of S,called blocks,such that any two points lie on exactly one blockand each block contains exactly k points.A flag of Dis a pair(α,B) such thatα∈S,B∈Bandα∈B,the set of all flags is denoted by F.We assume that2≤k≤v.An automorphism of Dis a permutation of the points which leaves the set Binvari-ant,all the automorphisms form a group Aut D.Let G be a subgroup of A… 相似文献
15.
16.
17.
In this paper, we consider the action of (2, q) on the finite projective line for q ≡ 1 (mod 4) and construct several infinite families of simple 3-designs which admit PSL(2, q) as an automorphism group. Some of the designs are also minimal. We also indicate a general outline to obtain some other
algebraic constructions of simple 3-designs.
相似文献
18.
Journal of Geometry - 相似文献
19.
作为wA(p,r)算子类的一个推广,该文介绍了一类更广泛的算子类即 wF(p,r,q)算子类,它包含A(p,r)类而含于F(p,r,q)类之中, 进而考虑了该类算子的特征, 包含关系, 正规性和幂性质等等. 相似文献
20.
从β0到E(p,q)和E0(p,q)空间的复合算子 总被引:1,自引:0,他引:1
设ψ是单位园盘D到自身的解析映射,X是D上解析函数的Banach空间,对f∈X,定义复合算子Cψ:Cψ(f)=foψ.我们利用从β0到E(p,q)和E0(p,q)空间的复合算子研究了空间E(p,q)和E0(p,q),给出了-个新的特征. 相似文献