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A group $G$ is said to be invariably generated by $a$ and $b$ if $G$ is generated by the conjugates $a^g$, $b^h$ for every $g, h$. Let $p \neq q$ be fixed primes. Does every finite group embed into a finite group invariably generated by an element of order $p$ and an element of order $q$?

Contributor: P. A. Zalesskii

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