Grilled Pepper Cheese Sandwiches

Name: Grilled Pepper Cheese Sandwiches
Ingredients: 12 ounces extra sharp cheddar cheese; 6 ounces roasted piquillo peppers; 4 cloves garlic; 1/2 cup good prepared mayonnaise (Hellman's or homemade); 2 slices good sandwich bread (my favorite is variations on French country bread like Pain Poilane); 1 tablespoon butter (give or take)