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POLYNOMIAL INVARIANTS OF FOUR-DIMENSIONAL ORTHOGONAL GROUPS

POLYNOMIAL INVARIANTS OF FOUR-DIMENSIONAL ORTHOGONAL GROUPS

Abstract Let Q be a nondegenerate quadratic form over the finite field F q and O n (F q ) be the associated orthogonal group. Let O n (F q ) act linearly on the polynomial ring F q [x 1, …, x n ]. We find the invariant subring …