TY - JOUR AB - A linear algebraic group G defined over a field k is said to be excellent if for every field extension L of k the anisotropic kernel of the group G⊗kL is defined over k. We prove that groups of type G₂ and F₄ are excellent over any field k of characteristic other than 2 and 3. AU - Garge, Shripad M. DA - 2010 LA - eng IS - Münster Journal of Mathematics M2 - 213 PY - 2010 SP - 213-220 T2 - Münster Journal of Mathematics TI - Excellence of G₂ and F₄ UR - https://nbn-resolving.org/urn:nbn:de:hbz:6-16409477212 Y2 - 2026-02-27T02:12:53 ER -