Equivalence Relation question?
Let G be a group and H be a subgroup of G. We say that a is congruent to b modulo H if and only if a* (b inverse) is an element of H. Show that congruence modulo H is an equivalence relation on G.
- ?Lv 48 years agoFavorite Answer
I have posted a full solution to your question at one of the math help forums I collaborate with, so that I may give you an easy to read explanation using LaTeX:
Hope this helps.