2010/08/04 by Mikhail Klin, Klin, Mikhail, István Kovács +2
Engineering · Materials Science · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Flame retardant materials and properties #Graph theory and applications #Synthesis and properties of polymers #graph theory and CDMA systems #math.CO
paper · pdf · doi:10.48550/arxiv.1008.0751
arxiv created 2010/08/04 · openalex publication_date 2010/08/04 · arxiv updated 2010/08/05 · openalex created_date 2022/09/13 · openalex updated_date 2026/07/28
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.