|
| |
|
|
A124937
|
|
Number of solvable transitive Galois groups for polynomials of degree n.
|
|
1
| |
|
|
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
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
LINKS
| 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 (grafix(AT)csl.pl), 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: A122442 A162613 A120858 * A169852 A176914 A194010
Adjacent sequences: A124934 A124935 A124936 * A124938 A124939 A124940
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Nov 13 2006
|
|
|
EXTENSIONS
| More terms from Artur Jasinski (grafix(AT)csl.pl), Feb 04 2007
|
| |
|
|
