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Questions about the branch of algebra that deals with groups.

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Which finite cyclic groups can be characterized by Lattice isomorphism and isomorphism betwe...

Given a finite cyclic group $G$, we denote by $L(G)$ the lattice of its subgroups, and by $\mathop{\rm Aut}(G)$ the automorphism group of $G$. Let $H$ be any group. Assume that $L(G)\cong L(H)$ and …