Abstract
ABSTRACTLet denote the countably infinite dimensional vector space over the two element field and GL(ω,2) its automorphism group. Let denote the symmetric group acting on the elements of and Sp denote the symplectic group. The closed intermediate subgroups G, such that are characterized. As endowed with the standard symplectic form is an ω-categorical structure, these groups correspond to its first order definable reducts. These reducts are also analyzed.
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