Each of the d-dimensional dual hyperovals S h m discovered by Yoshiara [20] gives rise, via affine expansion, to a flag-transitive semibiplane A f (S h m ). We prove that, if m is not isomorphic to any of the examples we are aware of, except possibly for certain semibiplanes obtained from D n -buil
โฆ LIBER โฆ
Some families of semibiplanes
โ Scribed by Peter Wild
- Book ID
- 103060379
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 278 KB
- Volume
- 138
- Category
- Article
- ISSN
- 0012-365X
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We construct a \(c . c^{*}\)-geometry admitting \(M_{22}\) as flag transitive automorphism group. Furthermore, we classify all flag transitive \(c . c^{*}\)-geometries supposing that the residue of a circle is isomorphic to the complete graph \(K_{15}\). We use coset enumeration to determine the uni