Finitely generated group
= Finitely generated group
{wiki=Finitely_generated_group}
A finitely generated group is a group \\( G \\) that can be generated by a finite set of elements. More formally, there exists a finite set of elements \\( \\\{ g_1, g_2, \\ldots, g_n \\\} \\) in \\( G \\) such that every element \\( g \\in G \\) can be expressed as a finite combination of these generators and their inverses.