✦ LIBER ✦

The full collineation group of any projective plane of order 12 is a {2, 3}-group

✍ Scribed by Zvonimir Janko; Tran Trung

Publisher: Springer
Year: 1982
Tongue: English
Weight: 388 KB
Volume: 12
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00147334

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Projective planes of order 12 do not hav

Projective planes of order 12 do not have a four group as a collineation group

✍ Zvonimir Janko; van Trung Tran 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 169 KB

The nonexistence of projective planes of

The nonexistence of projective planes of order 12 with a collineation group of order 8

✍ Kenzi Akiyama; Chihiro Suetake 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 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

On collineation groups of a projective p

On collineation groups of a projective plane of prime order

✍ Chat Yin Ho; Adilson Goncalves 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 463 KB

Towards the study of finite projective plane of prime order, the following result is proved in this paper. Let 7r be a projective plane of prime order p and let G be a collineation group of n. If P[I G I, then either n is Desarguesian or the maximal normal subgroup of G is not trivial. In particular

Collineation groups preserving a unital

Collineation groups preserving a unital in a projective plane of even order

✍ Mauro Biliotti; Gabor Korchmaros 📂 Article 📅 1989 🏛 Springer 🌐 English ⚖ 576 KB

We investigate the structure of a collineation group G leaving invafiant a unital q/in a finite projective plane II of even order n = m 2. When G is transitive onthe points of ~//and the socle of G has even order, then II must be a Desarguesian plane, ~ a classical unital and PSU(3,m 2) ~< G ~< PFU(

More on the group Y555 and the projectiv

More on the group Y555 and the projective plane of order 3

✍ Leonard H Soicher 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 330 KB

Thermolysis of Triazoles as Melts − Is t

Thermolysis of Triazoles as Melts − Is the 3,5-Diphenyl-1,2,4-triazole Group a Good Leaving Group?

✍ Odd R. Gautun; Per H. J. Carlsen 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 260 KB 👁 1 views

The mechanism of the rearrangement of 4-alkyltriazoles to the corresponding 1-alkyltriazoles on thermolysis at 330 °C is shown to involve initial formation of an intermediate 1,4dialkyltriazolium triazolate salt. The triazolate ion subsequently attacks at the alkyl group bearing 1-and 4-positions of