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

Offset: 1

Author

Danny Rorabaugh, Nov 26 2018

Keywords

• nonn
• more

Comments

A transitive group is minimal provided it has no proper transitive subgroups.

Examples

			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.
		

Links

• Derek Holt and Gordon Royle, A Census of Small Transitive Groups and Vertex-Transitive Graphs, arXiv:1811.09015 [math.CO], 2018.

Crossrefs

Cf. A002106.