A124937 Number of solvable transitive Galois groups for polynomials of degree n.

1, 1, 2, 5, 3, 12, 4, 45, 30, 24, 4, 265, 6, 36, 64, 1905, 5, 892, 6, 759, 108, 32, 4, 24193, 132, 70, 2328, 1237, 6, 3816, 8

Offset

1,3

Links

Table of n, a(n) for n=1..31.

Bialostocki A. & Shaska T., Galois groups of prime degree polynomials with nonreal roots. arXiv:math/0601397

Example

a(5) = 3: for polynomials of degree 5 we have 3 solvable groups: C5 (T5_1), D5 (T5_2) and F5(T5_3)

Prog

(GAP) "a(15)= ", l:=AllTransitiveGroups(NrMovedPoints, 15, IsSolvable, true); - Artur Jasinski, Feb 04 2007
(Magma) (*a(10)*)
for g in [1..45] do
G:=TransitiveGroup(10, g);
IsSolvable(G);
end for;

Crossrefs

Cf. A002106, A124938.

Sequence in context: A225258 A162613 A120858 * A279342 A169852 A318189

Adjacent sequences: A124934 A124935 A124936 * A124938 A124939 A124940

Keyword

nonn,more

Author

Artur Jasinski, Nov 13 2006

Extensions

More terms from Artur Jasinski, Feb 04 2007

Status

approved