A primitive permutation group is called extremely primitive if a point stabilizer acts primitively on each of its orbits. We prove that finite extremely primitive groups are of affine type or almost simple. Moreover, we determine the affine type examples up to finitely many exceptions.
Classification :
20-XX, 00-XX
Mots-clés :
Primitive permutation groups
Affiliations des auteurs :
Avinoam Mann
1
;
Cheryl E. Praeger
2
;
Ákos Seress
3
1
The Hebrew University of Jerusalem, Israel
2
The University of Western Australia, Crawley, Australia
3
Ohio State University, Columbus, United States
Avinoam Mann; Cheryl E. Praeger; Ákos Seress. Extremely primitive groups. Groups, geometry, and dynamics, Tome 1 (2007) no. 4, pp. 623-660. doi: 10.4171/ggd/27
@article{10_4171_ggd_27,
author = {Avinoam Mann and Cheryl E. Praeger and \'Akos Seress},
title = {Extremely primitive groups},
journal = {Groups, geometry, and dynamics},
pages = {623--660},
year = {2007},
volume = {1},
number = {4},
doi = {10.4171/ggd/27},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/27/}
}
TY - JOUR
AU - Avinoam Mann
AU - Cheryl E. Praeger
AU - Ákos Seress
TI - Extremely primitive groups
JO - Groups, geometry, and dynamics
PY - 2007
SP - 623
EP - 660
VL - 1
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/27/
DO - 10.4171/ggd/27
ID - 10_4171_ggd_27
ER -
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%A Cheryl E. Praeger
%A Ákos Seress
%T Extremely primitive groups
%J Groups, geometry, and dynamics
%D 2007
%P 623-660
%V 1
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/27/
%R 10.4171/ggd/27
%F 10_4171_ggd_27
