In these Lecture Notes <http://molle.fernuni-hagen.de/~loos/jordan/archive/cohinv/cohinv.pdf> from 2006 by Garibaldi on page 21. 7.5 there is the following open problem mentioned:


Is the map


$g\_3 \times f\_3 \times f\_5: H^1(-,F\_4) \rightarrow H^3(-,\mathbb{Z}/3\mathbb{Z}) \times H^3(-,\mathbb{Z}/2\mathbb{Z}) \times H^5(-,\mathbb{Z}/2\mathbb{Z})$


injective?


It was orginally brought up by Serre in Cohomologie galoisienne.


Has this been answered by now?



On Serre's problem regarding the injectivity of Albert-Algebra cohomological invariants
In the lecture notes [Albert algebras](http://www.fields.utoronto.ca/programs/scientific/11-12/exceptional/Alb.-alg.-Ottawa-2012-Vii-new.pdf) by H.P. Petersson, written in $2012$ this is still mentioned as an open problem, see Question $13.2$: 
Is an Albert algebra $J$ determined up to isomorphism by its invariants $g\_3(J),\, f\_3(J),\, f\_5(J)$ ? This is equivalent to the injectivity of the map given above. 
Peterson writes that "a complete answer to Question $13.2$ is fairly well out of reach at the moment".


