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What is the order of grouping?

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Anonymous

13y ago
Updated: 4/24/2023

The order of a group is the same as its cardinality - i.e. the number of elements the set contains. The order of a particular element is the order of the (cyclic) group generated by that element - i.e. the order of the group {...a-4, a-3, a-2, a-1, e, a, a2, a3, a4...}. If these powers do not go on forever, it will have a finite order; otherwise the order will be infinite.

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Dimitri Welch

Lvl 13
2y ago

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