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infinite cyclic group

cyclic group with an infinite number of elements
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infinite cyclic group

Summary

Key Facts

  • infinite cyclic group is a type of cyclic group[1].
  • infinite cyclic group is a type of infinite group[2].
  • infinite cyclic group is a type of free abelian group[3].
  • infinite cyclic group is a type of free group[4].
  • infinite cyclic group is the opposite of finite cyclic group[5].

Body

Definition and Type

Recorded subclass of include cyclic group[1], infinite group[2], free abelian group[3], and free group[4]. infinite cyclic group is the opposite of finite cyclic group[5].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). infinite cyclic group. Retrieved May 7, 2026, from https://4ort.xyz/entity/infinite-cyclic-group
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BibTeX @misc{4ortxyz_infinite-cyclic-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{infinite cyclic group}}, year = {2026}, url = {https://4ort.xyz/entity/infinite-cyclic-group}, note = {Accessed: 2026-05-07}}
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