Loeh, Clara (2013) Which finitely generated Abelian groups admit isomorphic Cayley graphs? GEOMETRIAE DEDICATA, 164 (1). pp. 97-111. ISSN 0046-5755,
Full text not available from this repository. (Request a copy)Abstract
We show that Cayley graphs of finitely generated Abelian groups are rather rigid. As a consequence we obtain that two finitely generated Abelian groups admit isomorphic Cayley graphs if and only if they have the same rank and their torsion parts have the same cardinality. The proof uses only elementary arguments and is formulated in a geometric language.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Cayley graphs; Graph isomorphisms; Rigidity |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Clara Löh |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Apr 2020 10:06 |
| Last Modified: | 08 Apr 2020 10:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/16616 |
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