$p$-group

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Let $p$ be a prime number. A $p$ -group is a finite group $G$ whose order is a power of $p$ :
$|G|=p^{k}$ for some $k\geq 0$ .

Practice this concept with exercises

Soit $p$ un nombre premier.
Montrer que $G$ est un $p$ -groupe si et seulement si tout élément de $G$ est d’ordre une puissance de $p$ , c’est-à-dire
$\forall g\in G,\ \exists k\in\mathbb{N},\quad g^{p^{k}}=e .$

Open exerciseDifficulty 48/100 · 0 solutions · 0 hints

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