Isomorphisms of Cayley graphs of a free Abelian group |
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Authors: | A A Ryabchenko |
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Institution: | (1) Moscow Institute of Physics and Technology, Moscow, Russia |
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Abstract: | A group G is called a CI-group provided that the existence of some automorphism σ ∈ Aut(G) such that σ(A) = B follows from an isomorphism Cay(G, A) ? = Cay (G, B) between Cayley graphs, where A and B are two systems of generators for G. We prove that every finitely generated abelian group is a CI-group. |
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Keywords: | abelian group Cayley graph distance graph |
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