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Cayley graphs of more than one abelian g...

Dobson, Edward...

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Cayley graphs of more than one abelian group by Dobson, Edward ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	17-08-2023
Summary	We show that for certain integers $n$, the problem of whether or not a Cayley digraph $\Gamma$ of $\mathbb Z_n$ is also isomorphic to a Cayley digraph of some other abelian group $G$ of order $n$ reduces to the question of whether or not a natural subgroup of the full automorphism group contains more than one regular abelian group up to isomorphism (as opposed to the full automorphism group). A necessary and sufficient condition is then given for such circulants to be isomorphic to Cayley digraphs of more than one abelian group, and an easy-to-check necessary condition is provided.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1505.05771

Citation

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AMA 11th EditionReferences

Dobson, Edward. Cayley graphs of more than one abelian group. Australian National University. August 17, 2023. Accessed October 03, 2025. https://online.provdatabase.com/cite/18609

APA 7th EditionReferences

Dobson, Edward. (2023). Cayley graphs of more than one abelian group. Australian National University. https://online.provdatabase.com/cite/18609

Chicago 17th EditionReferences

Dobson, Edward. Cayley graphs of more than one abelian group. Australian National University. 2023. https://online.provdatabase.com/cite/18609

HarvardReferences

Dobson, Edward. (2023). Cayley graphs of more than one abelian group. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/18609. (Accessed 03 October 2025).

Harvard AustraliaReferences

Dobson, Edward, 2023, Cayley graphs of more than one abelian group, Australian National University, viewed 03 October 2025, <https://online.provdatabase.com/cite/18609>

MLA 9th EditionWorks Cited

Dobson, Edward. Cayley graphs of more than one abelian group. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/18609.

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