suppose that G is a group and let H={g is an element in G l g= inverse of g }. prove that if G is abelian then H is a subgrp of G.
in ssuch a case, does it mean that if g is in G then inverse of g is in H.
and if e is in G, then inverse of e is in H?
i dont really get what does (g= inverse of g) in the criteria of H mean.
thanks!