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Orthogonal groups of dyadic unimodular quadratic forms. II

Orthogonal groups of dyadic unimodular quadratic forms. II

Let O(M) be the orthogonal group of a unimodular quadratic form over the integers in a dyadic local field.The subgroups of O(M) normalized by the commutator subgroup are classified when the rank r(M) Ξ> 9, or when r(M) ^ 7 and the residue class field has at least 8 elements.