Automorphism Groups of Rational Circulant Graphs
Copyright policy )Automorphism Groups of Rational Circulant Graphs
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.
- University of Primorska Slovenia
- Ben-Gurion University of the Negev Israel
grupa avtomorfizmov, Group actions on combinatorial structures, Cayley graphs over cyclic groups, posplošen venec produkt, automorphism groups of orthogonal group block structures of cyclic groups, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Association schemes, strongly regular graphs, info:eu-repo/classification/udc/519.1, circulantni graf, Graphs and abstract algebra (groups, rings, fields, etc.)
grupa avtomorfizmov, Group actions on combinatorial structures, Cayley graphs over cyclic groups, posplošen venec produkt, automorphism groups of orthogonal group block structures of cyclic groups, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Association schemes, strongly regular graphs, info:eu-repo/classification/udc/519.1, circulantni graf, Graphs and abstract algebra (groups, rings, fields, etc.)
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