Title of article :
On automorphisms of Cayley-digraphs of abelian groups Original Research Article
Author/Authors :
Istvan Kovacs، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Pages :
8
From page :
189
To page :
196
Abstract :
The automorphisms of the Cayley-digraph Γ are considered, where Γ is defined according to some abelian group G. Using Fourier transformation defined over G, we derive an equation relating automorphisms of Γ and characters of G. Then our result is used to estimate the number of simple eigenvalues that Γ can have, when it admits a non-regular automorphism group. As another application of our method, a short proof is also shown for a classical theorem of W. Burnside on transitive permutation groups of prime degree.
Keywords :
Cayley-digraph , Automorphism , Discrete Fourier transformation
Journal title :
Discrete Mathematics
Serial Year :
2003
Journal title :
Discrete Mathematics
Record number :
949163
Link To Document :
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