In large skillet brown the sausage.
Drain sausage, reserving 1/4 cup drippings; set sausage aside.
Return reserved drippings to skillet.
Combine potato, onion, and green pepper; pat into skillet.
Season generously with salt; sprinkle with pepper.
Cook over low heat till underside is crisp and brown.
Blend eggs, milk, 1/4 teaspoon salt, and dash pepper.
Pour over potatoes.
Top with cheese and sausage.
Cover; cook over low heat for 6 to 8 minutes.
Loosen omelet; cut in wedges to serve.