Mix grated cheese and butter in small bowl.Season generously with salt and pepper;set aside.
Sprinkle steak generously withsalt and pepper.
Heat oil in medium skilletover medium-high heat.
Add steak; cook todesired doneness, about 4 minutes per sidefor medium-rare.
Transfer to plate.
Addvinegar, shallots, and sugar to skillet; boil untilreduced to glaze, stirring constantly, about 1minute. Divide arugula and Parmesan shavingsbetween 2 plates. Squeeze lemon over. Slicesteak; place atop arugula. Top steak with