The quasiregular projective planes of order 16

Glasnik Matematicki

Volumn 43, Issue 2, 2008, Pages 231-242

  Röder, Marc ^a  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Complete computer search; Projective planes; Quasiregular group of collineations; Relative difference sets

Indexed keywords

EID: 69049088809     PISSN: 0017095X     EISSN: None     Source Type: Journal    
DOI: 10.3336/gm.43.2.01     Document Type: Article

References (12)

1. R. H. Bruck, Difference sets in a finite group, Trans. Amer. Math. Soc. 78 (1955), 464-481.
2. P. Dembowski, Finite geometries, Ergebnisse der Mathematik und ihrer Grenzge-biete 44, Springer-Verlag, Berlin-Heidelberg, 1968.
3. P. Dembowski and F. Piper, Quasiregular collineation groups of finite projective planes, Math. Z. 99 (1967), 53-75.
4. U. Dempwolff and A. Reifart, The classification of the translation planes of order 16. I, Geom. Dedicata 15 (1983), 137-153.
5. [GAP] The GAP Group, GAP - Groups, Algorithms, and Programming, Version 4.4, http://www.gap-system.org.
6. D. Ghinelli and D. Jungnickel, On finite projective planes in Lenz-Barlotti class at least I.3, Adv. Geom. Special Issue (2003), S28-S48.
7. A. Pott, Finite geometry and character theory, Lecture Notes in Mathematics 1601, Springer Verlag, Berlin Heidelberg, 1995.[Röd]
8. M. Röder, http://www.maths.nuigalway.ie/~roeder.
9. M. Röder, Quasiregular projective planes of order 16 - a computational approach, Ph.D. thesis, Technische Universität Kaiserslautern, 2006, http://kluedo.ub.uni-kl.de/volltexte/2006/2036/.
10. M. Röder, RDS - a GAP4 package for relative difference sets, 2006, http://www.gap-system.org/Packages/rds.html.
11. G. Royle, Gordon Royle's planes of order 16, http://www.csse.uwa.edu.au/- gordon/remote/planes16/index.html.
12. [Sch02] B. Schmidt, Characters and cyclotomic fields in finite geometry, Lecture Notes in Mathematics 1797, Springer-Verlag, Berlin, 2002.