Savagery is fierce or brutal violence. The savagery of boxing is just too much for me — I prefer sports like rowing and badminton.
When you think of savagery, extreme physical violence probably comes to mind. The savagery of war, brutal crackdowns by totalitarian governments, and vicious attacks are all good examples. There's also a figurative kind of savagery: "The restaurant critic's savagery felt like a personal attack on the chef." Savagery has a Latin source meaning "wild" or "of the woods," from a root that means "forest."