Finite abelian groups with the \(m\)-DCI property (Q2761045)
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scientific article; zbMATH DE number 1682907
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite abelian groups with the \(m\)-DCI property |
scientific article; zbMATH DE number 1682907 |
Statements
17 December 2001
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abelian group
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homocyclic
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Cayley digraph
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\(m\)-DCI property
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Finite abelian groups with the \(m\)-DCI property (English)
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Let \(G\) be a finite abelian group that has a Sylow subgroup which is not homocyclic. The purpose of the paper is to construct for each \(m\geq 1\) two \(m\)-element sets \(S,T\subseteq G^\#\) such that the Cayley graphs \(\text{Cay}(G,S)\) and \(\text{Cay}(G,T)\) are isomorphic, but no automorphism of \(G\) sends \(S\) to \(T\).
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