✦ LIBER ✦

On Groups with Isomorphic Complex Group Algebras

✍ Scribed by T. Hawkes

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 710 KB
Volume: 167
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1994.1202

No coin nor oath required. For personal study only.

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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;