Show that Q, the group of rational numbers under addition, has no proper subgroups of finite index, but Z has.

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- Oct 26th 2008, 06:27 PMmandy123show has no proper subgroups of finite index
Show that Q, the group of rational numbers under addition, has no proper subgroups of finite index, but Z has.

- Oct 26th 2008, 08:36 PMNonCommAlg