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Flag-transitive projective planes

โœ Scribed by J. B. Fink

Publisher
Springer
Year
1985
Tongue
English
Weight
363 KB
Volume
17
Category
Article
ISSN
0046-5755

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๐Ÿ“œ SIMILAR VOLUMES

Quadratic Extensions of Flag-transitive
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In this article, the finite translation planes which are quadratic extensions of flag-transitive subplanes are classified as either Desarguesian or Hall.

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An affine plane is called flag-transitive if it admits a collineation group which acts transitively on the incident point-line pairs. It has been shown that finite flag-transitive planes are necessarily translation planes, and much work has been devoted to this class of translation planes in recent

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For any odd prime power q, all (q 2 &q+1)th roots of unity clearly lie in the extension field F q 6 of the Galois field F q of q elements. It is easily shown that none of these roots of unity have trace &2, and the only such roots of trace &3 must be primitive cube roots of unity which do not belong