Heat oil to 350°F in deep fryer.
Mix chopped shrimp with salt and pepper.
Combine cabbage, green onions, and garlic together.
Add ginger, soy sauce, and sesame oil.
Mix shrimp with vegetable mixture thoroughly.
Place wrapper on clean work surface.
Add 2 tablespoons filling to wrapper center.
Brush edges with beaten egg mixture.
Roll tightly, folding in side edges.
Seal completely with egg wash.
Fry rolls for 3-4 minutes until golden.
Drain on paper towels before serving.