A note on general quadratic groups
classification
🧮 math.KT
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generalgroupsquadraticanalogueapplicationbak--petrov--tangdeducefunctor
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We deduce an analogue of Quillen--Suslin's local-global principle for the transvection subgroups of the general quadratic (Bak's unitary) groups. As an application we revisit the result of Bak--Petrov--Tang on injective stabilization for the K_1-functor of the general quadratic groups.
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