A **Cartan subgroup** is a maximal abelian subgroup that is semisimple (diagonalizable over the algebraic closure). There are two types of Cartan subgroups of $\GL(2,\F_p)$, split Cartan subgroups, which are diagonalizable over $\F_p$, and non-split Cartan subgroups, which are diagonalizable over $\F_{p^2}$.

**Authors:**

**Knowl status:**

- Review status: beta
- Last edited by Andrew Sutherland on 2017-03-16 13:51:31

**Referred to by:**

**History:**(expand/hide all)