The special orthogonal is trireflectional

Villa, Oliver and Ellers, Erich W. (2004) The special orthogonal is trireflectional. Archiv der Mathematik, 82 (2). pp. 122-127. ISSN 0003-889X

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Let K be a field of even characteristic, V a finite-dimensional vector space over K, and SO(V) the special orthogonal group. Then SO(V) is trireflectional, provided dim V > 2 and SO(V) O+ (4, 2).

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