| Autor: |
Alan R. Camina |
| Rok vydání: |
2005 |
| Předmět: |
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| Zdroj: |
Innov. Incidence Geom. 1, no. 1 (2005), 191-196 |
| ISSN: |
1781-6475 |
| DOI: |
10.2140/iig.2005.1.191 |
| Popis: |
In this note we prove two theorems which contribute towards the classification of line-transitive designs. A special class of such designs are the projective planes and it is this problem which the paper addresses. There two main results:- ¶ Theorem A: Let [math] act line-transitively on a projective plane [math] and let [math] be a minimal normal subgroup of [math] . Then [math] is either abelian or simple or the order of the plane is [math] or [math] . ¶ Theorem B: Let [math] be a classical simple group which acts line-transitively on a projective plane. Then the rank of [math] is bounded. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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