OFFSET
1,2
REFERENCES
The GAP Group, GAP - Groups, Algorithms, and Programming, Version 4.9.3, 2018. gap-system.org.
LINKS
Sébastien Palcoux, On the sum the subgroup orders of a finite group (version: 2020-06-29), MathOverflow.
PROG
(GAP)
L:=[];;
for n in [1..100] do
Mn:=0;
r:=NrSmallGroups(n);
for d in [1..r] do
g:=SmallGroup(n, d);
lat:=AllSubgroups(g);
sg:=Sum(List(lat, Order));
if sg>Mn then
Mn:=sg;
fi;
od;
Add(L, Mn);
od;
Print(L);
CROSSREFS
KEYWORD
nonn
AUTHOR
Sébastien Palcoux, Jun 28 2020
STATUS
approved