I'm wondering the following:
is the maximal subtorus of a connected commutative algebraic linear group over $k$ a) normal and closed b) defined over $k$ (for $k$ a field of characteristic zero, not necessarily algebraically closed)?
2026-03-26 14:33:50.1774535630
maximal subtorus of a connected commutative algebraic linear group
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It is defined over $k$ for any $k$ (not even of char $0$). The result is due to Grothendieck, you can find this in SGA3 or also in Borels Linear Algebraic Groups book.