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Groups with the basis property

✍ Scribed by Jonathan McDougall-Bagnall; Martyn Quick

Book ID: 113675257
Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 155 KB
Volume: 346
Category: Article
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2011.08.030

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Let G be a finite group, and let Cay(G, S) be a Cayley digraph of G. If, for all T ⊂ G, Cay(G, S) ∼ = Cay(G, T ) implies S α = T for some α ∈ Aut(G), then Cay(G, S) is called a CI-graph of G. For a group G, if all Cayley digraphs of valency m are CI-graphs, then G is said to have the m-DCI property;