Let $n_p$ be number of the elements of order $p$ in a group $G$.
My motivation is that if $n_2\ge\dfrac 34 |G|$ then $G$ is $2$-group. You can check it from this.
Is there such general bound for $n_p$ to conclude $G$ is a $p$-group?
2026-04-06 00:48:46.1775436526
Can we find a bound so that we can conclude $G$ is a $p$-group?
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