Hi Maureen - this is my favourite sugar free mayonnaise recipe:
Put 2 eggs, 1 tsp mustard powder, 1 tsp salt, 1/4 tsp black pepper, 2 Tbsp white wine vinegar & 1 clove garlic, crushed into blender and give it all a whirl then slowly add approx 1 1/2 cups olive oil (I use extra light) while blender is still rotating.