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  • Author: Frieder Knüppel x
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Abstract

Given a regular symmetric and isotropic bilinear form on a finite-dimensional vector space V (dim(V) ≥ 3) over a commutative field K of characteristic ≠ 2. The commutatorgroup Ω(V) of the orthogonal group O(V) is generated by the set of Eichler-transformations. We will compute for each π ∈ Ω(V) the length 1 (π), i. e. the minimal number of Eichler-transformations in a product that equals π.