The orthogonal group over a local ring is 4-reflectional
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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).
Keywords
Bilinear Form Local Ring Orthogonal Group Symmetric Bilinear Form
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© Kluwer Academic Publishers 1994