# 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.

### 1 Answer

Relevance

- ?Lv 48 years agoFavourite 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:

http://www.mathhelpboards.com/f52/arjuns-question-...

Hope this helps.

Still have questions? Get answers by asking now.