Let u,vu,vu,v be elements of the group GGG. Define [u,v]=uvu−1v−1[u,v] = uvu^{-1}v^{-1}[u,v]=uvu−1v−1. The subgroup of GGG generated by [u,v][u,v][u,v] for all pairs u,v∈Gu,v\in Gu,v∈G is denoted [G,G][G,G][G,G] and is called the commutator subgroup of GGG.
Wikidata ID: Q522216