Maximum of element orders

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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 maxg∈Go(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
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