Maximum of element orders

This article is about a basic definition in group theory. The article text may, however, contain advanced material.
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Definition

For $G$ a group, the maximum of element orders is defined to be $\mathrm {max} _{g\in G}o(g)$.

Examples

Group	maximum of element orders
trivial group	1
cyclic group:Z2	2
cyclic group:Z3	3
cyclic group:Z4	4
Klein four group	2