Is the following correct?
The infinite group of integers $\Bbb Z$ under the operation of addition is a free abelian group with generator $1$. The subgroup $2\Bbb Z$ is also cyclic (with generator $2$) and thus the same rank as $\Bbb Z$.
2026-03-26 21:27:47.1774560467
Please check my example of a free abelian group that has the same rank as its subgroup
70 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ABSTRACT-ALGEBRA
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