I know the definition of $p’$-element of a group i.e. elements of a group $G$ with order prime to $p$. What is definition of $p’$-group. I searched it on google but didn’t find. Please given me definition. Thanks.
2026-03-30 11:52:31.1774871551
$p’$-group definition.
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A group of which the order $|G|$ is prime to $p$. In general, if $\pi$ is a set of primes then $G$ is a $\pi$-group if the primes that divide $|G|$ belong to $\pi$. Similarly, $\pi’$-groups are defined.