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 A322100 Number of minimal transitive permutation groups of degree n. 0
 1, 1, 1, 2, 1, 4, 1, 5, 2, 6, 1, 17, 1, 6, 4, 75, 1, 23, 1, 47, 5, 6, 1, 213, 2, 7, 20, 30, 1, 79, 1, 12033, 3, 7, 4, 436, 1, 5, 4, 1963, 1, 84, 1, 148, 41, 4, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS A transitive group is minimal provided it has no proper transitive subgroups. LINKS Table of n, a(n) for n=1..47. Derek Holt and Gordon Royle, A Census of Small Transitive Groups and Vertex-Transitive Graphs, arXiv:1811.09015 [math.CO], 2018. EXAMPLE There are two transitive groups of degree 3, A_3 and S_3, so A002106(3)=2. However, a(3)=1, because A_3 is minimal, but S_3 has proper transitive subgroups A_3 and S_2. CROSSREFS Cf. A002106. Sequence in context: A093890 A325609 A006306 * A277100 A337363 A339243 Adjacent sequences: A322097 A322098 A322099 * A322101 A322102 A322103 KEYWORD nonn,more AUTHOR Danny Rorabaugh, Nov 26 2018 STATUS approved

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Last modified June 4 21:13 EDT 2023. Contains 363130 sequences. (Running on oeis4.)