login
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
OFFSET
1,4
COMMENTS
A transitive group is minimal provided it has no proper transitive subgroups.
LINKS
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
KEYWORD
nonn,more
AUTHOR
Danny Rorabaugh, Nov 26 2018
STATUS
approved