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A note on some flag-transitive affine planes

โœ Scribed by William M Kantor; Chihiro Suetake

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
169 KB
Volume
65
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES

A Trace Conjecture and Flag-Transitive A
A Trace Conjecture and Flag-Transitive Affine Planes
โœ R.D. Baker; G.L. Ebert; K.H. Leung; Q. Xiang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 127 KB

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

On Some Flag-transitive Non-classical c.
On Some Flag-transitive Non-classical c.C2-geometries
โœ Satoshi Yoshiara ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 669 KB

Construction and characterization is given for three new flag-transitive non-classical extended generalized quadrangles. They are simply connected with point-residues the non-classical generalized quadrangle \(T_{2}^{*}\left(O_{4}\right)\) and its dual \(T_{2}^{* *}\left(O_{4}\right)\).