Source: wikibot/borel-subgroup

= Borel subgroup
{wiki=Borel_subgroup}

In the context of algebraic groups and group theory, a **Borel subgroup** is a specific type of subgroup that is particularly important in the study of linear algebraic groups. Here are the key points regarding Borel subgroups: 1. **Definition**: A Borel subgroup of an algebraic group \\( G \\) is a maximal connected solvable subgroup of \\( G \\). This means that it cannot be contained in any larger connected solvable subgroup of \\( G \\).