Abstract:
An explicit classification is obtained for the maximal arithmetic subgroups of indefinite orthogonal $K$-groups of type $(B_l)$, where $K$ is a global field $(\operatorname{char}K\ne2)$. As a preliminary, a local analogue of the maximality problem is considered, and conditions are determined under which, for groups of the type indicated, local maximality implies global.
Bibliography: 14 titles.