Elations of Designs
Canadian journal of mathematics, Tome 22 (1970) no. 5, pp. 897-904
Voir la notice de l'article provenant de la source Cambridge University Press
An elation of a design is an automorphism γ of fixing some block X pointwise and some point x on X blockwise. Luneburg [4] and I [2] have proved results which state that a design admitting many dations and having additional properties must be the design of points and hyperplanes of a finite desarguesian projective space. In this note, additional results of this type will be proved and applied to yield a generalization of a previous result on Jordan groups [3]. The proofs were suggested by a result of Hering on dations of finite projective planes [1, pp. 122, 190].
Kantor, William M. Elations of Designs. Canadian journal of mathematics, Tome 22 (1970) no. 5, pp. 897-904. doi: 10.4153/CJM-1970-103-0
@article{10_4153_CJM_1970_103_0,
author = {Kantor, William M.},
title = {Elations of {Designs}},
journal = {Canadian journal of mathematics},
pages = {897--904},
year = {1970},
volume = {22},
number = {5},
doi = {10.4153/CJM-1970-103-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1970-103-0/}
}
[1] 1. Dembowski, P., Finite geometries, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 44 (Springer-Verlag, New York, 1968). Google Scholar
[2] 2. Kantor, W. M., Characterizations of finite projective and affine spaces, Can. J. Math. 21 (1969), 64–75. Google Scholar
[3] 3. Kantor, W. M., Jordan groups, J. Algebra 12 (1969), 471–493. Google Scholar
[4] 4. Liineburg, H., Zentrale Automorphismen von-Raumen, Arch. Math. 12 (1961), 134–145. Google Scholar
Cité par Sources :