On the number of isomorphism classes of complete translation nets

DOI10.1007/BF01190682zbMath0763.05019MaRDI QIDQ1203553

Dieter Jungnickel, Oliver Pfaff

Publication date: 10 February 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

translation grouptransitive automorphism groupaffine 2- designscomplete translation nets

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Other designs, configurations (05B30) Combinatorial aspects of finite geometries (05B25) Spreads and packing problems in finite geometry (51E23) Combinatorial geometries and geometric closure systems (51D20) Finite partial geometries (general), nets, partial spreads (51E14)

Cites Work

• The classification of the translation planes of order 16. I
• The number of designs with classical parameters grows exponentially
• A non-symmetric translation plane of order \(17^ 2\)
• Construction of two-dimensional flag-transitive planes
• Existence results for translation nets. II
• Translation planes of order \(q^ 6\) admitting SL(2,\(q^ 2)\)
• The classification of doubly transitive affine designs
• Two families of flag-transitive affine planes
• Über Blockpläne mit transitiver Dilatationsgruppe
• Projective Planes