An example of a bireflectional spin group

Villa, Oliver (2003) An example of a bireflectional spin group. Archiv der Mathematik, 81 (1). pp. 1-4. ISSN 0003-889X

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

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