The structure of transitive ordered permutation groups
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 4, pp. 811-815
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We give some necessary and sufficient conditions for transitive $l$-permutation groups to be $2$-transitive. We also discuss primitive components and give necessary and sufficient conditions for transitive $l$-permutation groups to be normal-valued.
Classification :
06C15, 06F15
Keywords: transitive $l$-permutation group; stabilizer subgroup; primitive component; normal-valued $l$-group.
Keywords: transitive $l$-permutation group; stabilizer subgroup; primitive component; normal-valued $l$-group.
@article{CMJ_1999__49_4_a10,
author = {Zhu, Zuo-Tong, and Zhenyu, Huang},
title = {The structure of transitive ordered permutation groups},
journal = {Czechoslovak Mathematical Journal},
pages = {811--815},
publisher = {mathdoc},
volume = {49},
number = {4},
year = {1999},
mrnumber = {1746705},
zbl = {1007.06012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_1999__49_4_a10/}
}
Zhu, Zuo-Tong,; Zhenyu, Huang. The structure of transitive ordered permutation groups. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 4, pp. 811-815. http://geodesic.mathdoc.fr/item/CMJ_1999__49_4_a10/