Abstract
For the field 𝔽 and 𝔽-vector space A, let G be a subgroup of GL(𝔽,A), the group of invertible 𝔽-linear transformations of A. A subspace B of A is G-contrainvariant if GB=A. We discuss groups G and vector spaces A such that every subspace of A is either G-invariant or G-contrainvariant.
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