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Results tagged with combinatorial-group-theory
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user 92209
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Cyclic subgroups of finite abelian groups
If $G$ is an abelian $p$-group and $p^k\le\exp(G)$, then the number of cyclic subgropups of order $p^k$ in $G$ is
$$
{\rm c}_k(G)=\frac{|\Omega_k(G)-\Omega_{k-1}(G)|}{(p-1)p^{k-1}}.
$$
If the type of …
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