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A NORMAL NON-CAYLEY-INVARIANT GRAPH FOR THE ELEMENTARY ABELIAN GROUP OF ORDER 64
Published online by Cambridge University Press: 01 December 2008
Abstract
We exhibit an interesting Cayley graph X of the elementary abelian group Z26 with the property that Aut(X) contains two regular subgroups, exactly one of which is normal. This demonstrates the existence of two subsets of Z26 that yield isomorphic Cayley graphs, even though the two subsets are not equivalent under the automorphism group of Z26.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 85 , Issue 3 , December 2008 , pp. 347 - 351
- Copyright
- Copyright © Australian Mathematical Society 2009
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