Category
page 1Abelian group theory
integer
thumb|upright=1.25|The integers arranged on a number line
abelian group
group whose group operation is commutative
cyclic group
mathematical group that can be generated as the set of powers of a single element
finitely generated abelian group
A commutative group where every element is the sum of elements from one finite subset
Prüfer group
mathematical term
Minkowski addition
commutative associative binary operation on subsets of an Abelian group (such as Euclidean space)
free abelian group
commutative group whose elements are unique integer combinations of basis elements
divisible group
abelian group in which every element can, in some sense, be divided by positive integers
torsion subgroup
subgroup of A consisting of all elements that have finite order
torsion
elements of a module space sent to 0 by regular elements of a ring
elementary abelian group
commutative group in which all nonzero elements have the same order
category of abelian groups
category in mathematics
rank of an abelian group
the cardinality of a maximal linearly independent subset
abelian topological group
topological group whose group is abelian