Fix a group $G$. Recall a space $X$ is a $G$-torsor if $G$ acts freely and transitively on $X$ (if $G$ is non-abelian one has to talk about left or right torsors).
A choice of a point $x \in X$ induces a bijection between $X$ and $G$, and hence $X$ is non-canonically isomorphic to $G$.
Is there a universally accepted name for such a choice, as in:
"Let $X$ be a $G$-torsor, and choose a [insert name here] between $X$ and $G$..."
The word that comes naturally to mind is affine map, but this somehow isn't appropriate when $G$ has torsion, say...
I note that the wikipedia entry:
does not give a name to such a map; neither does the lovely little expository article by Baer:
Apologies if this question isn't deemed appropriate for mathoverflow - it's hardly a research level question I know, but it's not the sort of thing I could really ask anywhere else!