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A322100
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Number of minimal transitive permutation groups of degree n.
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0
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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
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OFFSET
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1,4
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COMMENTS
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A transitive group is minimal provided it has no proper transitive subgroups.
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LINKS
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EXAMPLE
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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.
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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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STATUS
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approved
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