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The orthogonal group over a local ring is 4-reflectional |
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| Authors: | Hans Röpcke |
| Affiliation: | (1) Mathematisches Seminar, Universität Kiel, Olshausenstrasse 40, D-23 Kiel, Germany |
| Abstract: | LetV be a free finite-dimensional module over a commutative local ringR where 2 is a unit. Letf:V × V  R be a regular symmetric bilinear form. We prove that every element of the orthogonal group O(V) is a product of four involutions in O(V). |
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