Abstract:
In this paper, we obtain the description of subgroups of orthogonal linear groups $\operatorname{SO}(2l,K)$ and $\operatorname{GO}(2l,K)$ over the field of fractions $K$ of a local principal ideal domain $R$
containing the maximal split tori $T=T(2l,R)$ with entries from $R$. Similar result for overgroups $T$ in case of semilocal ring and field was obtained earlier by N. Vavilov. Result of the present paper generalizes also some known results.