Abstract
Let $\frak n$ be the anisotropic norm of a Cayley algebra $\frak C$ over a field F of characteristic different from 2 where -1 is a square. Let Spin$(\frak C, \frak n)$ be the spin group of the quadratic form $\frak n$. We prove that every element in Spin$(\frak C, \frak n)$ is a product of two involutory elements, i.e. Spin$(\frak C, \frak n)$ is birefiectional.
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