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A086087 a(n) is the minimal m such that the group GL(m,3) has an element of order n. 1
1, 2, 2, 4, 2, 6, 2, 4, 4, 5, 4, 3, 6, 6, 4, 16, 4, 18, 4, 8, 5, 11, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,2
COMMENTS
For n > 2, a(prime(n)) = A062117(n). Also, for any n, a(n) <= n. - Eric M. Schmidt, May 18 2013
LINKS
PROG
(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
CROSSREFS
Sequence in context: A258446 A054704 A143525 * A284476 A082174 A278235
KEYWORD
nonn,more
AUTHOR
Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 24 2003
EXTENSIONS
Extended and corrected by Eric M. Schmidt, May 18 2013
STATUS
approved

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Last modified February 23 20:31 EST 2024. Contains 370288 sequences. (Running on oeis4.)