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A086087
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a(n) is the minimal m such that the group GL(m,3) has an element of order n.
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1
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1, 2, 2, 4, 2, 6, 2, 4, 4, 5, 4, 3, 6, 6, 4, 16, 4, 18, 4, 8, 5, 11, 4
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OFFSET
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2,2
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COMMENTS
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For n > 2, a(prime(n)) = A062117(n). Also, for any n, a(n) <= n. - Eric M. Schmidt, May 18 2013
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LINKS
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Table of n, a(n) for n=2..24.
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PROG
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(GAP)
A086087 := function(n) local m; if IsPrime(n) and n>3 then return Order(3*Z(n)^0); fi; m := 1; while true do if ForAny(ConjugacyClasses(GL(m, 3)), cc->Order(Representative(cc))=n) then return m; fi; m := m + 1; od; end; # Eric M. Schmidt, May 18 2013
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CROSSREFS
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Cf. A085430, A053290.
Sequence in context: A090397 A054704 A143525 * A082174 A074369 A073348
Adjacent sequences: A086084 A086085 A086086 * A086088 A086089 A086090
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KEYWORD
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nonn,more,changed
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AUTHOR
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Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 24 2003
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EXTENSIONS
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Extended and corrected by Eric M. Schmidt, May 18 2013
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STATUS
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approved
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