## Abstract In this article, we investigate the existence of large sets of 3βdesigns of prime sizes with prescribed groups of automorphisms PSL(2,__q__) and PGL(2,__q__) for __q__ < 60. We also construct some new interesting large sets by the use of the computer program DISCRETA. The results obtain
Groups of order-automorphisms of the rationals with prescribed scale type
β Scribed by Peter J Cameron
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 596 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0022-2496
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We classify minimal pairs X, G for smooth rational projective surface X and finite group G of automorphisms on X. We also determine the fixed locus X G and the quotient surface Y s XrG as well as the fundamental group of the smooth part of Y. The realization of each pair is included. Mori's extremal
## Abstract The degree set π^G^ of a graph __G__ is the set of degrees of the vertices of __G.__ For a finite nonempty set __S__ of positive integers, all positive integers __p__ are determined for which there exists a graph __G__ of order __p__ such that π^G^ = __S__.
Examples 1.1. (Desarguesian affine spaces). Here S is an affine space AG n (q), where n 2 and q n = p d ; we have G 0 1L n (q), and one of the following holds: