# Tour:Objective evaluator four (beginners)

From Groupprops

This page is a Objective evaluator page, part of the Groupprops guided tour for beginners (Jump to beginning of tour)PREVIOUS: Confidence aggregator four (beginners)|UP: Introduction four |NEXT: Introduction five (beginners)PREVIOUS SECTION Objective evaluator: Objective evaluator three|NEXT SECTION Objective evaluator: Objective evaluator five

General instructions for the tour | Pedagogical notes for the tour | Pedagogical notes for this part

This objective evaluator is meant as a diagnostic. If you get any of these questions wrong, review the corresponding tour pages and mind's eye tests.

Expect to take about three to five minutes per question.

## True/false questions

- Two cyclic groups are isomorphic if and only if they have the same order.
- Suppose and are cyclic subgroups of a group . Then, the intersection is also a cyclic subgroup of .
- Suppose and are cyclic subgroups of a group . Then, the join is also cyclic.
- Any group of prime order is cyclic.