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A group surjects Zonto $\mathbb{Z}$ if and only if its abelianization tensored with the rationals is non-trivial.
A group surjects Z if and only if its abelianization tensored with the rationals is non-trivial.
A group surjects onto $\mathbb{Z}$ if and only if its abelianization tensored with the rationals is non-trivial.
