A085430 -id:A085430 - cp's OEIS frontend

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A086087 a(n) is the minimal m such that the group GL(m,3) has an element of order n.

Original entry on oeis.org

1, 2, 2, 4, 2, 6, 2, 4, 4, 5, 4, 3, 6, 6, 4, 16, 4, 18, 4, 8, 5, 11, 4

Offset: 2

Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 24 2003

For n > 2, a(prime(n)) = A062117(n). Also, for any n, a(n) <= n. - Eric M. Schmidt, May 18 2013

Cf. A085430, A053290.

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

Extended and corrected by Eric M. Schmidt, May 18 2013

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