Exercise · ZW-ORDER-OF-A-GROUP-001 · ★☆☆ Basic
What is the order of the group \((\mathbb{Z}_9,+)\)?
Choose one option.
Show answer
- C. 9
Explanation
\(\mathbb{Z}_9\) has the nine elements \(0,1,\dots,8\), so its order is 9.
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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