Tour:Objective evaluator four (beginners)
This page is a Objective evaluator page, part of the Groupprops guided tour for beginners (Jump to beginning of tour)
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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.
- 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.