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A124938
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Number of non-solvable transitive Galois groups for polynomials of degree n.
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2
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0, 0, 0, 0, 2, 4, 3, 5, 4, 21, 4, 36, 3, 27, 40, 49, 5, 91, 2, 358, 56, 27, 3, 807, 79, 26, 64, 617, 2, 1896, 4
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OFFSET
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1,5
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COMMENTS
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This sequence is A002106 (total number of transitive Galois groups) - A124937 (number of solvable transitive groups).
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LINKS
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FORMULA
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EXAMPLE
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a(5) = 2: for polynomials of degree 5 we have 2 non-solvable groups: A_5 (T5_4) and S_5 (T5_5)
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PROG
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(GAP) "a(15)= ", l:=AllTransitiveGroups(NrMovedPoints, 15, IsSolvable, false); - Artur Jasinski, Feb 04 2007
(Magma) for g in [1..45] do
G:=TransitiveGroup(10, g);
IsSolvable(G);
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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