The Reductive Subgroups of G_2

Details The Reductive Subgroups of G_2 The Reductive Subgroups of G_2

2009-03-24

arxiv.org/abs/0903.4137v1

Mathematics

Group Theory

18 pages; copy submitted to Journal of Group Theory

Scientific paper

Let $G:=G_2(K)$ be a simple algebraic group of type $G_2$ defined over an
algebraically closed field $K$ of characteristic $p>0$. Let $\sigma$ denote a
standard Frobenius automorphism of $G$ such that $G_\sigma\cong G_2(q)$ with
$q\geq 4$. In this paper we find all reductive subgroups of $G$ and
quasi-simple subgroups of $G_\sigma$ in the defining characteristic.

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