Definition:P-Element

Definition

Let $\struct {G, \circ}$ be a group.

Let $p$ be a prime number.

Let $x \in G$ be an element of $G$.

Then $x$ is a $p$-element of $G$ if and only if its order is a power of $p$.

Sources

• 1967: John D. Dixon: Problems in Group Theory ... (previous) ... (next): Introduction: Notation
• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): $p$-element