Source: wikibot/base-group-theory
= Base (group theory)
{wiki=Base_(group_theory)}
In group theory, a branch of abstract algebra, a "base" refers to a particular set of elements that can be used to generate a group or a subgroup. Specifically, when discussing a group \\( G \\), a set of elements \\( \\\{ g_1, g_2, \\ldots, g_n \\\} \\) is often called a base if these elements can be combined (through the group operation) to form every element of \\( G \\).