Overgroups of the Automorphism Group of the Rado Graph

2012/05/16 by Peter J‎. Cameron, Peter Cameron, Claude Laflamme +8
Computer Science · Mathematics · #05C55 (Primary) 05C63 #05C65 (Secondary) #05C80 #Advanced Topics in Algebra #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Logic (math.LO) #math.CO #math.LO #msc:05C55 #msc:05C63 #msc:05C65 #msc:05C80

paper · pdf · doi:10.48550/arxiv.1205.3717

11 pages, 2 figures

arxiv created 2012/05/16 · openalex publication_date 2012/05/16 · arxiv updated 2012/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We are interested in overgroups of the automorphism group of the Rado graph. One class of such overgroups is completely understood; this is the class of reducts. In this article we tie recent work on various other natural overgroups, in particular establishing group connections between them and the reducts.

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