On primitive permutation groups with nontrivial global stabilizers
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 3, pp. 61-64
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In the paper the distinguishing number $D(G)$ of an arbitrary finite primitive permutation group $G$ is determined. As a consequence, the distinguishing number $D(\Gamma)$ of an arbitrary finite graph $\Gamma$ with a vertex-primitive group of automorphisms is found.
@article{TIMM_2007_13_3_a5,
author = {A. V. Konygin},
title = {On primitive permutation groups with nontrivial global stabilizers},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {61--64},
publisher = {mathdoc},
volume = {13},
number = {3},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2007_13_3_a5/}
}
A. V. Konygin. On primitive permutation groups with nontrivial global stabilizers. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 3, pp. 61-64. http://geodesic.mathdoc.fr/item/TIMM_2007_13_3_a5/