Geodesic
On collineation subgroup of semifield plane that isomorphic to $A_4$
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 498-504 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is proved that the translation complement of any semifield plane of rank 2 over finite field of odd order does not contain a collineaton subgroup isomorphic to $A_4$.
Keywords: semifield plane, translation complement, Baer involution
Mots-clés : homolody. 
@article{JSFU_2011_4_4_a7,
     author = {Olga V. Kravtsova and Victoria O. Pramzina},
     title = {On collineation subgroup of semifield plane that isomorphic to $A_4$},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {498--504},
     year = {2011},
     volume = {4},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a7/}
}
TY  - JOUR
AU  - Olga V. Kravtsova
AU  - Victoria O. Pramzina
TI  - On collineation subgroup of semifield plane that isomorphic to $A_4$
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2011
SP  - 498
EP  - 504
VL  - 4
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a7/
LA  - ru
ID  - JSFU_2011_4_4_a7
ER  - 
%0 Journal Article
%A Olga V. Kravtsova
%A Victoria O. Pramzina
%T On collineation subgroup of semifield plane that isomorphic to $A_4$
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2011
%P 498-504
%V 4
%N 4
%U http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a7/
%G ru
%F JSFU_2011_4_4_a7
Olga V. Kravtsova; Victoria O. Pramzina. On collineation subgroup of semifield plane that isomorphic to $A_4$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 498-504. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a7/

[1] I. V. Busarkina, “O $p$-primitivnykh polupolevykh ploskostyakh”, Matematicheskie metody i modeli, Vestnik KGTU, 23, IPTs KGTU, Krasnoyarsk, 2001, 6–10

[2] O. V. Kravtsova, “O nekotorykh translyatsionnykh ploskostyakh, dopuskayuschikh $A_4$”, III Vsesibirskii Kongress zhenschin-matematikov (v chest rozhdeniya S. V. Kovalevskoi), Tezisy dokladov kongressa, 2004, 38

[3] D. R. Hughes, F. C. Piper, Projective planes, Springer-Verlag, New York, 1973 | MR | Zbl

[4] N. D. Podufalov, B. K. Durakov, O. V. Kravtsova, E. B. Durakov, “O polupolevykh ploskostyakh poryadka $16^2$”, Sib. mat. zhurn., 37:3 (1996), 616–623 | MR | Zbl