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

โœ Scribed by Mauro Biliotti; Gabor Korchmaros

Publisher
Springer
Year
1989
Tongue
English
Weight
576 KB
Volume
31
Category
Article
ISSN
0046-5755

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โœฆ Synopsis

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(3,m 2) -for m > 2. The primitive case follows as an easy corollary.

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