𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On projective planes of order 12 with an automorphism of order 13

✍ Scribed by Zvonimir Janko; Tran Trung


Publisher
Springer
Year
1982
Tongue
English
Weight
447 KB
Volume
12
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The nonexistence of projective planes of
✍ Kenzi Akiyama; Chihiro Suetake πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 183 KB

## Abstract In this article, we prove that there does not exist a symmetric transversal design ${\rm STD}\_2[12;6]$ which admits an automorphism group of order 4 acting semiregularly on the point set and the block set. We use an orbit theorem for symmetric transversal designs to prove our result. A

Quasi-symmetric 2-(28, 12, 11) designs w
✍ Yuan Ding; Sheridan Houghten; Clement Lam; Suzan Smith; Larry Thiel; Vladimir D. πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

All quasi-symmetric 2-(28, 12, 11) designs with an automorphism of order 7 without fixed points or blocks are enumerated. Up to isomorphism, there are exactly 246 such designs. All but four of these designs are embeddable as derived designs in symmetric 2-(64, 28, 12) designs, producing in this way