On the Collineation Groups of Derived Semifield Planes.
Mauro Biliotti (1983)
Mathematische Zeitschrift
Kurt Girstmair (1983)
Manuscripta mathematica
Drudge, Keldon (2002)
The Electronic Journal of Combinatorics [electronic only]
Dobson, Edward (2006)
The Electronic Journal of Combinatorics [electronic only]
Michael Walker (1977)
Inventiones mathematicae
Gill, Nick (2007)
Beiträge zur Algebra und Geometrie
Dieter Held, Jörg Hrabě De Angelis, Mario-Osvin Pavčević (1999)
Rendiconti del Seminario Matematico della Università di Padova
Aleš Drápal, Tomáš Kepka (1987)
Commentationes Mathematicae Universitatis Carolinae
Aleš Drápal, Tomáš Kepka (1987)
Commentationes Mathematicae Universitatis Carolinae
Dragan Marušič, Roman Nedela (2001)
Mathematica Slovaca
K. Hofmann, F. Wright (1963)
Fundamenta Mathematicae
A.E. Brouwer (1982)
Aequationes mathematicae
Maubach, Stefan (2001)
Serdica Mathematical Journal
It is shown that the invertible polynomial maps over a finite field Fq , if looked at as bijections Fn,q −→ Fn,q , give all possible bijections in the case q = 2, or q = p^r where p > 2. In the case q = 2^r where r > 1 it is shown that the tame subgroup of the invertible polynomial maps gives only the even bijections, i.e. only half the bijections. As a consequence it is shown that a set S ⊂ Fn,q can be a zero set of a coordinate if and only if #S = q^(n−1).
S.G. Hulsurkar (1974)
Inventiones mathematicae
Rolf-Dieter Wirsching (1973)
Journal für die reine und angewandte Mathematik
B. Heinrich Matzat (1985)
Manuscripta mathematica
G. Malle, B.H. Matzat (1985)
Mathematische Annalen
Charles F. Dunkl (1988)
Mathematische Zeitschrift
P. McMullen, E. Schulte (1989)
Mathematische Zeitschrift
M. Koecher, J. Dorfmeister (1977)
Mathematische Annalen