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Projective planes and dihedral groups

โœ Scribed by Johannes Ueberberg

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
457 KB
Volume
174
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

In the present article we shall show that any two disjoint Baer subplanes of PG(2,q 2) are contained in exactly one Singer-Baer partition.

Given two disjoint Baer subplanes of P = PG(2,q 2) with Baer involutions zo and zi we shall see that 6 := zozl is a projective collineation whose order is a divisor of q2 _ q + 1. If 0(6) = q2-q+l, then the point orbits of P under the action of ( 6) are so-called Kestenband arcs.

๐Ÿ“œ SIMILAR VOLUMES

Automorphism groups of compact projectiv
Automorphism groups of compact projective planes
โœ Theo Grundhofer ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Springer ๐ŸŒ English โš– 418 KB

Compact connected projective planes have been investigated extensively in the last 30 years, mostly by studying their automorphism groups. It is our aim here to remove the connectedness assumption in some general results of Salzmann [31] and H/ihl[14] on automorphism groups of compact projective pla