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Groups such that inclusion on collection of all its subgroup is a total order

proving a group

Number of subgroup of order $p^2$ in $\mathbb{Z}_{p^{2}} \times \mathbb{Z}_{p^{2}}$

How to show $\mathbf{Q} $ is not free

$\Bbb{Q}$ is not a finitely generated $\Bbb{Z}$-module

Two problems in Group theorem related to Sylow's theorem(maybe)

A question about the automorphism group of $\mathbb{Z}_{2} \times \mathbb{Z}_{4}$

I don't understand this notation- abelian groups

Show that there is a positive integer $n$ such that $G \cong \ker(\phi^{n}) \times \phi^{n}(G)$

A question about a free abelian finitely generated group.

Subgroups isomorphic to $\mathbb{Z}_{5}\oplus\mathbb{Z}_{5} $

Free abelian group, matrix representation.

Finite Abelian groups with the same number of elements for all orders are isomorphic

If $g^2 = e$ for all $g \in G$, then $G$ is abelian

How to list all subgroup info of a (n abelian) group with Sage?

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