Definition:P-Element
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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