The article defines a property of groups, where the definition may be in terms of a particular prime that serves as parameter
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A finite group is termed -hyperelementary if it satisfies the following equivalent conditions:
- It is the internal semidirect product of a cyclic group of order relatively prime to with a -group.
- It is the internal semidirect product of a cyclic group and a -group.
- It contains a cyclic normal -complement.