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 $\F_{p^2}$.

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- Last edited by Eran Assaf on 2020-10-29 12:32:02

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