Digraph representations of 2-closed permutation groups with a normal regular cyclic subgroup
The electronic journal of combinatorics, Tome 22 (2015) no. 4
In this paper, we classify 2-closed (in Wielandt's sense) permutation groups which contain a normal regular cyclic subgroup and prove that for each such group $G$, there exists a circulant $\Gamma$ such that $\mathrm{Aut} (\Gamma)=G$.
DOI :
10.37236/5146
Classification :
05C25, 20B25
Mots-clés : 2-closed permutation groups, digraph representations, arc-transitive circulants
Mots-clés : 2-closed permutation groups, digraph representations, arc-transitive circulants
@article{10_37236_5146,
author = {Jing Xu},
title = {Digraph representations of 2-closed permutation groups with a normal regular cyclic subgroup},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {4},
doi = {10.37236/5146},
zbl = {1329.05151},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5146/}
}
Jing Xu. Digraph representations of 2-closed permutation groups with a normal regular cyclic subgroup. The electronic journal of combinatorics, Tome 22 (2015) no. 4. doi: 10.37236/5146
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