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On Semi-Groups and the General Isomorphism Between Infinite Groups

✍ Scribed by Leonard Eugene Dickson


Book ID
123784510
Publisher
American Mathematical Society
Year
1905
Tongue
English
Weight
365 KB
Volume
6
Category
Article
ISSN
0002-9947

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The work for this paper was carried out partly at the Courant Institute of Mathematical Sciences under NSF Grant GP-12024. Reproduction in whole or in part is permitted for any purpose of the United States Government. Communicated through G. Baumslag.

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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 βŠ‚ G, Cay(G, S) ∼ = Cay(G, T ) implies S Ξ± = T for some Ξ± ∈ 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;