# Power set with group operation as symmetric difference

My apologies for the novice question but I know that for a set X the powerset P(X) along with the symmetric difference (denoted by D) forms a group (P(X), D). I would like to form this group with sage and then build up a module over F = {0,1}. I've googled everywhere on how to go about this but I am having trouble. I can show these by hand and I would love to be able to formulate them in Sage. Thanks for your help. Sam