TY - INPR
A1 - Dempwolff, Ulrich
A1 - Guthmann, Andreas
T1 - Applications of Number Theory to Ovoids and Translation Planes
N2 - In this paper we show that for each prime p=7 there exists a translation plane of order p^2 of Mason-Ostrom type. These planes occur as 6-dimensional ovoids being projections of the 8-dimensional binary ovoids of Conway, Kleidman and Wilson. In order to verify the existence of such projections we prove certain properties of two particular quadratic forms using classical methods form number theory.
T3 - Preprints (rote Reihe) des Fachbereich Mathematik - 305
KW - Translation planes
KW - ovoids
KW - quadratic forms
Y1 - 1999
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/831
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-8006
ER -