[basicoperation]

Of course: a group contains the inverse of every member.

[mooreds]

Did you read the post? His whole point is that the group exists apart from the individuality of each member, and can have separate goals and methods.

And that you can't study both the members and the group at the same time.

[asksomeoneelse]

I think GP was making a math joke; "a group is a non-empty set [...] in such a way that [...] every element has an inverse". [0]

[0] https://en.m.wikipedia.org/wiki/Group_(mathematics)