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MMLU / Statement 1 | If K is a nonzero subgroup of a finitely generated free abelian…

Problem

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question

Statement 1 | If K is a nonzero subgroup of a finitely generated free abelian group, then K is free abelian. Statement 2 | If K is a nonzero subgroup of a finitely generated free abelian group, then G / K is free abelian.

choices

True, True
False, False
True, False
False, True

subject

abstract_algebra

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task_id: 7423adae-cabe-5c3e-89e7-960592aeb01b
task_key: all--test--7423adae-cabe-5c3e-89e7-960592aeb01b
task_revision_id: 1
config / split: all / test

Official source

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