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On certain products of algebraic groups over a finite field
Let G_1,...,G_q be algebraic varieties over a finite field k. We show that,
if q >1, the finiteness of the tensor product of G_1, ...,G_q as Mackey
functors. We apply this to prove the finiteness of a relative Chow group and an
abelian fundamental group which classifies abelian coverings with bounded
ramification along the boundary
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