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A322100

Number of minimal transitive permutation groups of degree n.

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

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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

URL: https://oeis.org/A322100

⇱ A322100 - OEIS