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Search: id:A104114
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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
1
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OFFSET
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0,2
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COMMENT
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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
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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
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Sequence in context: A092485 A113904 A099144 this_sequence A118038 A022917 A107762
Adjacent sequences: A104111 A104112 A104113 this_sequence A104115 A104116 A104117
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KEYWORD
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nice,nonn
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AUTHOR
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David Harden (sylow2subgroup(AT)hotmail.com), Mar 31 2005
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