Automorphism groups of rational circulant graphs through the use of Schur rings

Details Automorphism groups of rational circulant graphs through the use of Schur rings Automorphism groups of rational circulant graphs through the use of Schur rings

2010-08-04

arxiv.org/abs/1008.0751v1

Mathematics

Combinatorics

Scientific paper

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.

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