I'm looking for a nice, elegant word to describe the part where/extent to which things don't overlap.
"Discongruity"/"discongruence"/"incongruity"/"incongruence"/"complementation"/"complementarity" get sort of close, but I'd like other ideas. (The tighter the relationship with "overlap," the better!)
Note that words like "exclude" add meaning undesirably. "Diverge"/"differ" are not as specific as I'd like.
"A group which [---]s completely with/to the other group" (i.e., "has no members in common with" from within a broader group to which they both belong).
"The [---] between this concept and the other is" (i.e., the part that not only differs between the groups, but specifically differs in the manner of "sticking out" from one group in one way and the other in another.)