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Results tagged with nilpotent-groups
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user 12858
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Nilpotency of a group by looking at orders of elements
For any finite group $G$, let
$$\theta(G) := \sum_{g \in G} \frac{o(g)}{\phi(o(g))},$$
where $o(g)$ denotes the order of the element $g$ in $G$, and where $\phi$ is the Euler totient function.
It is …
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