𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The automorphism group of a complete (q − 1)-arc in PG(2,q)

✍ Scribed by A. H. Ali; J. W. P. Hirschfeld; H. Kaneta


Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
698 KB
Volume
2
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis


The automorphism group of the set of 12 points associated with an apolar system of conics is determined. A complete (q -&arc for q = 13 can be obtained as a special case. The orbits of its automorphism group are also described. 0 I Y Y ~ John Wile?. & Sons, h e .


📜 SIMILAR VOLUMES


The complete (k, 3)-arcs of PG(2,q), q≤1
✍ K. Coolsaet; H. Sticker 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 197 KB

## Abstract We have classified by computer the projectively distinct complete (**__k__**, **3**)‐arcs in **PG**(**2**, **__q__**), **__q__**≤**13**. The algorithm used is an application of isomorph‐free backtracking using canonical augmentation, an adaptation of our earlier algorithms for the gener

On the uniqueness of (q + 1)4-arcs of PG
✍ L.R.A Casse; D.G Glynn 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 579 KB

Two results are proved: (1) In PG(3, q), q=2 h, h>~3, every q3-arc can be uniquely completed to a (q + 1)3-arc. (2) In PG(4, q), q = 2", h ~> 3, every (q + 1)4-arc is a normal rational curve. ## 1. In~oduction We assume throughout this paper that the base field GF(q) is of order q = 2 h, where h i

New inductive constructions of complete
✍ Alexander A. Davydov; Massimo Giulietti; Stefano Marcugini; Fernanda Pambianco 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 233 KB

## Abstract Some new families of small complete caps in __PG__(__N, q__), __q__ even, are described. By using inductive arguments, the problem of the construction of small complete caps in projective spaces of arbitrary dimensions is reduced to the same problem in the plane. The caps constructed in

Types of superregular matrices and the n
✍ Gerzson Kéri 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 182 KB

## Abstract Based on the classification of superregular matrices, the numbers of non‐equivalent __n__‐arcs and complete __n__‐arcs in PG(__r__, __q__) are determined (i) for 4 ≤ __q__ ≤ 19, 2 ≤ __r__ ≤ q − 2 and arbitrary __n__, (ii) for 23 ≤ __q__ ≤ 32, __r__ = 2 and __n__ ≥ q − 8<$>. The equivale