Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 163-170
Citer cet article
O. V. Kravtsova. A semifield plane of rank 2 admitting nonlinear Baire involution. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 163-170. http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a12/
@article{FPM_2000_6_1_a12,
author = {O. V. Kravtsova},
title = {A~semifield plane of rank~2 admitting nonlinear {Baire} involution},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {163--170},
year = {2000},
volume = {6},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a12/}
}
TY - JOUR
AU - O. V. Kravtsova
TI - A semifield plane of rank 2 admitting nonlinear Baire involution
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 163
EP - 170
VL - 6
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a12/
LA - ru
ID - FPM_2000_6_1_a12
ER -
%0 Journal Article
%A O. V. Kravtsova
%T A semifield plane of rank 2 admitting nonlinear Baire involution
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 163-170
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a12/
%G ru
%F FPM_2000_6_1_a12
We obtain a matrix representation of the regular set of a semifield plane of order $q^4$ with a kernel of order $q^2$ ($q=2^k$), where the semifield plane admits semilinear Baire involution. The possibility of coexistence of linear and semilinear Baire involutions in the group of autotopisms of a plane is studied.
