Translation Planes of Order q2 Admitting SL(2,q) as a Collineation Group

Heinz Lüneburg
Additional contact information
Heinz Lüneburg: Universität Kaiserslautern, FB Mathematik

Chapter Chapter VII in Translation Planes, 1980, pp 214-270 from Springer

Abstract: Abstract This chapter gives the complete description of all translation planes of order q2, having GF(q) contained in their kernels, and admitting SL(2,q) as a collineation group. Before we can give this description, we have to prove some results on ovals in finite desarguesian planes of odd order, among them Segre’s famous result that any oval in such a plane is a conic. Moreover, we have to investigate twisted cubics in projective 3-space and similar configurations in projective 3-spaces of characteristic 2.

Date: 1980
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-67412-9_7

Ordering information: This item can be ordered from
http://www.springer.com/9783642674129

DOI: 10.1007/978-3-642-67412-9_7

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().