✦ LIBER ✦

An extension of Wagner's theorem

✍ Scribed by Lynn Margaret Batten

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 215 KB
Volume: 92
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(91)90263-2

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✦ Synopsis

In his famous 1965 paper, Asher Wagner proves that if S is a finite affine plane and G a collineation group line transitive on S. then S is a translation atfine plane and G contains the translation group of S. In this paper, we generalize Wagner's assumptions to: S is an affine spfce embedded as a maximal arc in a finite projective plane fT; G is a collineation group of Il tixmg S, fixing a line of II exterior to S, and line transitive on S. Under these assumptions we show that Wagner's conclusion still holds.

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