Category:Basic facts in group theory

This page lists some basic facts in group theory, along with proofs. Many of these facts can also be found as lemmas, claims, informal explanations, side-notes, and riders in introductory texts of group theory.

Here, each article contains a full self-contained proof of the fact it documents.

If you are looking for proofs of elementary riders/exercises involving group theory, please check at:

Category: Elementary non-basic facts in group theory

If you're looking for something that seems trivial or obvious, you should be looking at:

Category:Results with direct proofs