#### Vol. 279, No. 1-2, 2015

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On maximal tori of algebraic groups of type $G_2$

### Constantin Beli, Philippe Gille and Ting-Yu Lee

Vol. 279 (2015), No. 1-2, 101–134
##### Abstract

Given an octonion algebra $C$ over a field $k$, its automorphism group is an algebraic semisimple $k$-group of type ${G}_{2}$. We study the maximal tori of $G$ in terms of the algebra $C$.

 To the memory of Robert Steinberg
##### Keywords
Octonions, tori, Galois cohomology, homogeneous spaces
##### Mathematical Subject Classification 2010
Primary: 20G15, 17A75
Secondary: 11E57, 20G41