OFFSET
1,6
COMMENTS
a(n) = 1 iff every group of order n is Abelian i.e. n belongs to sequence A051532.
a(m)a(n) <= a(mn). - Eric M. Schmidt, Oct 17 2012
LINKS
Eric M. Schmidt, Table of n, a(n) for n = 1..1535
EXAMPLE
a(6) = 2 because for the Abelian group with 6 elements the degrees are all 1 and for the symmetric group S_3 the degrees are 1,1,2.
PROG
(GAP) A060938 := function(n) local max, divs, maxpos, degs, i; if (n=1) then return 1; fi; divs := DivisorsInt(n); maxpos := divs[Int(Length(divs)/2)]; max := 1; for i in [1..NumberSmallGroups(n)] do degs := CharacterDegrees(SmallGroup(n, i)); max := Maximum(max, degs[Length(degs)][1]); if (max = maxpos) then return max; fi; od; return max; end;
CROSSREFS
KEYWORD
nonn
AUTHOR
Ahmed Fares (ahmedfares(AT)my-deja.com), May 07 2001
EXTENSIONS
More terms from Eric M. Schmidt, Oct 17 2012
STATUS
approved