## Abstract In this paper we either prove the non‐existence or give explicit construction of primitive symmetric (__v, k__, __λ__) designs with __v__=__p__^__m__^<2500, __p__ prime and __m__>1. The method of design construction is based on an automorphism group action; non‐existence results additio
Primitive symmetric designs with up to 2500 points
✍ Scribed by Snježana Braić; Anka Golemac; Joško Mandić; Tanja Vučičić
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 134 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1063-8539
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✦ Synopsis
By this article we conclude the construction of all primitive (v,k,k) symmetric designs with v<2500, up to a few unsolved cases. Complementary to the designs with prime power number of points published previously, here we give 55 primitive symmetric designs with v = p m , p prime and m positive integer, together with the analysis of their full automorphism groups. The research involves programming and wide-range computations. We make use of the software package GAP and the library of primitive groups which it contains.
📜 SIMILAR VOLUMES
We introduce here the notion of functions ␣-starlike with respect to symmetric conjugate points and derive a convolution theorem in this class. Moreover, a sharp coefficient estimate and a structural formula are given.
Appl. 201, 25᎐34 developed a method, using some operators, to deal with functions holomorphic and starlike with respect to symmetric conjugate points in the unit disc. Now the same method can be employed to functions meromorphic in the < < punctured disc 0z -1. Especially, a structural representatio