A086087 - OEIS

A086087

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

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

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

Table of n, a(n) for n=2..24.

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

Cf. A085430, A053290.

Sequence in context: A258446 A054704 A143525 * A284476 A082174 A278235

Adjacent sequences: A086084 A086085 A086086 * A086088 A086089 A086090

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