Abelian group
group whose group operation is commutative
maximal torus
elementary abelian group
finitely generated abelian group
free abelian group
module
cyclic group
character group
Witt group
abelian variety
ideal
algebraic torus
central subgroup
Klein four-group
locally compact abelian group
divisor class group
topological abelian group
torsion-free abelian group
Brauer group