A225090 Minimal sum of entries of the character table of a group of order n.
1, 2, 3, 4, 5, 5, 7, 8, 9, 8, 11, 8, 13, 11, 15, 14, 17, 14, 19, 11, 13, 17, 23, 13, 25, 20, 27, 22, 29, 23, 31, 26, 33, 26, 35, 18, 37, 29, 23, 22, 41, 17, 43, 34, 45, 35, 47, 24, 49, 38, 51, 25, 53, 30, 23, 20, 33, 44, 59, 19, 61, 47, 39, 44, 65, 50, 67, 32
Offset: 1
Keywords
Examples
a(6)=5 because the sum of the entries in the character table of the symmetric group S3 is 5, the minimum for groups of order 6.
Links
- Eric M. Schmidt, Table of n, a(n) for n = 1..1023
- Louis Solomon, On the Sum of the Elements in the Character Table of a Finite Group. Proceedings of the American Mathematical Society, Vol. 12, No. 6 (Dec., 1961), pp. 962-963.
Programs
-
GAP
A225090 := function(n) local min, i; min := n; for i in [1..NumberSmallGroups(n)] do min := Minimum(min, Sum(Sum(Irr(SmallGroup(n, i))))); od; return min; end;
Comments