  The group algebras $kQ_{2^n}$ of the generalized quaternion groups $Q_{2^n}$
over fields $k$ which contain $\mathbb{F}_{2^{n-2}}$, are deformed to separable
$k((t))$-algebras $[kQ_{2^n}]_t$. The dimensions of the simple components of
$\overline{k((t))}\otimes_{k((t))}[kQ_{2^n}]_t$ over the algebraic closure
$\overline{k((t))}$, and those of $\mathbb{C} Q_{2^n}$ over $\mathbb {C}$ are
the same, yielding strong solutions of the Donald-Flanigan conjecture for the
generalized quaternion groups.
