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The Automorphism Groups of Minimal Infinite Circulant Digraphs

✍ Scribed by Jixiang Meng; Huang Qiongxing

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 187 KB
Volume: 18
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1995.0114

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✦ Synopsis

An infinite circulant digraph is a Cayley digraph of the cyclic group of Z of integers . Here we prove that the full automorphism group of any strongly connected infinite circulant digraph over minimal generating set is just the group of translations of Z . We also present some related conjectures .

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