Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 256-263
Citer cet article
I. N. Ponomarenko. On estimate of the order of primitive permutation groups. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 256-263. http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a16/
@article{ZNSL_1994_215_a16,
author = {I. N. Ponomarenko},
title = {On estimate of the order of primitive permutation groups},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {256--263},
year = {1994},
volume = {215},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a16/}
}
TY - JOUR
AU - I. N. Ponomarenko
TI - On estimate of the order of primitive permutation groups
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1994
SP - 256
EP - 263
VL - 215
UR - http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a16/
LA - ru
ID - ZNSL_1994_215_a16
ER -
%0 Journal Article
%A I. N. Ponomarenko
%T On estimate of the order of primitive permutation groups
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 256-263
%V 215
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a16/
%G ru
%F ZNSL_1994_215_a16
Let $G$ be a primitive permutation group of degree $n$. Then $|G|\le nd^m$, where $d$ is the minimal order of a nontrivial orbit of the stabilizer of $G$ and $m$ is the minimal degree of a nonunity irreducible representation of $g$ occuring the permutation representation. Bibliography: 8 titles.
