Geodesic
Automorphism groups of rational circulant graphs
The electronic journal of combinatorics, Tome 19 (2012) no. 1
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The paper concerns the automorphism groups of Cayley graphs over cyclic groups which have a rational spectrum (rational circulant graphs for short). With the aid of the techniques of Schur rings it is shown that the problem is equivalent to consider the automorphism groups of orthogonal group block structures of cyclic groups. Using this observation, the required groups are expressed in terms of generalized wreath products of symmetric groups.
DOI : 10.37236/2039
Classification : 05E18, 05E30, 05C25, 20B25
Mots-clés : Cayley graphs over cyclic groups, automorphism groups of orthogonal group block structures of cyclic groups 
@article{10_37236_2039,
     author = {Mikhail Klin and Istv\'an Kov\'acs},
     title = {Automorphism groups of rational circulant graphs},
     journal = {The electronic journal of combinatorics},
     year = {2012},
     volume = {19},
     number = {1},
     doi = {10.37236/2039},
     zbl = {1244.05234},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2039/}
}
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Mikhail Klin; István Kovács. Automorphism groups of rational circulant graphs. The electronic journal of combinatorics, Tome 19 (2012) no. 1. doi: 10.37236/2039

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