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A104114
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The order of the smallest solvable group with derived length n.
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0
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OFFSET
| 0,2
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COMMENTS
| At order 24, the two groups which achieve the maximum derived length are S_4 and SL(2,3). At order 48, a group which achieves the maximum derived length is GL(2,3). At order 432, the only group which achieves the maximum derived length is 3^2:GL(2,3).
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EXAMPLE
| a_2=6 because the smallest solvable group with derived length 2 is the symmetric group S_3, which has order 6.
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CROSSREFS
| Sequence in context: A099144 A189851 A189563 * A175624 A118038 A022917
Adjacent sequences: A104111 A104112 A104113 * A104115 A104116 A104117
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KEYWORD
| nice,nonn
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AUTHOR
| David Harden (sylow2subgroup(AT)hotmail.com), Mar 31 2005
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