Two New Sporadic Semibiplanes Related to M22

✍ Scribed by Barbara Baumeister

• Book ID: 102571251
• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 350 KB
• Volume: 15
• Category: Article
• ISSN: 0195-6698
• DOI: 10.1006/eujc.1994.1037

✦ Synopsis

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 universal 2-cover of the example related to (M_{22}).