Editing Subgroup (section)

==Other examples==
*The even integers form a subgroup {{tmath|2\Z}} of the [[integer ring]] {{tmath|\Z:}} the sum of two even integers is even, and the negative of an even integer is even.
*An [[ideal (ring theory)#Definitions|ideal]] in a ring {{mvar|R}} is a subgroup of the additive group of {{mvar|R}}.
*A [[linear subspace]] of a [[vector space]] is a subgroup of the additive group of vectors.
*In an [[abelian group]], the elements of finite [[order (group theory)|order]] form a subgroup called the [[torsion subgroup]].