Special abelian Moufang sets of finite Morley rank in characteristic 2

✍ Scribed by Wiscons, Josh

• Book ID: 121661173
• Publisher: Walter de Gruyter GmbH & Co. KG
• Year: 2010
• Tongue: English
• Weight: 142 KB
• Volume: 13
• Category: Article
• ISSN: 1433-5883
• DOI: 10.1515/jgt.2009.031

✦ Synopsis

In this paper we study special Moufang sets MðU; tÞ, with U abelian, under the additional restriction that they have finite Morley rank. Our result states that the little projective group of such a Moufang set must be isomorphic to PSL 2 ðKÞ for an algebraically closed field K provided that U has characteristic 2 and that infinitely many endomorphisms of U centralize the Hua subgroup. This complements a result of De Medts and Tent that addresses the odd characteristic case.