Exercise · ZW-ORDER-OF-A-GROUP-007 · ★☆☆ Basic
What is the smallest order a group can have?
Choose one option.
Show answer
- B. 1
Explanation
Every group has at least the identity element, so it cannot be empty; the trivial group \(\{e\}\) has order 1.
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.
\[|G|\]
More practice problems: order of a group
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