Half turns in characteristic 2

Ellers, Erich W. and Villa, Oliver (2015) Half turns in characteristic 2. Linear Algebra and its Applications, 483. pp. 221-226. ISSN 0024-3795

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Let V be a nonsingular quadratic space over a field K of characteristic 2. We show that if n>4, then every element π in the special orthogonal group SO(V) is a product of an even number of half turns. If dimB(π) =2k, then the length of π with respect to the half turns is k, k+1 or k+2.

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