Exercise · ZW-ORDER-OF-A-GROUP-003 · ★☆☆ Basic
What is the order of the group \((\mathbb{Z},+)\)?
Choose one option.
Show answer
- D. infinite
Explanation
There are infinitely many integers and all of them belong to the group, so it has no finite order.
Review the concept: Order of a group
The order of a finite group \(G\) is its number of elements; if \(G\) is infinite it has infinite order.
\[|G|\]
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