When a game is created as a ladder challenge, its name is automatically set to:
Ladder Challenge: {challenger}(#xxx) vs {challenged}(#yyy)
If the ladder is the ladder of a group, as opposed a site-wide ladder, I think it would be helpful to include the name of the group at the beginning of the name of the game:
{group name} Ladder Challenge: {challenger}(#xxx) vs {challenged}(#yyy)