Boğaziçi Üniversitesi Matematik Bölümü Seminerleri
On subgroups of the group $GL_7$ over a field that contain a Chevalley group of type $G_2$ over a subfield
Evgenii Bashkirov
Fatih University, Türkiye
Let k be a field of characteristic $\neq 2,3$ and let $K$ be an algebraic field extension
of k. In this talk, we describe subgroups of the general linear group $GL_7(K)$ that contain the
7-dimensional representation $G_2(k)$ of the Chevalley group of type $G_2$ over $k$ provided $k$ contains
more than 11 elements.
