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metacyclic group

extension of a cyclic group by a cyclic group
Thing general Q6822469
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metacyclic group

Summary

Key Facts

  • metacyclic group is a type of group extension[1].
  • metacyclic group is a type of supersolvable group[2].
  • metacyclic group is a type of metabelian group[3].
  • metacyclic group's maintained by WikiProject is recorded as WikiProject Mathematics[4].

Body

Definition and Type

Recorded subclass of include group extension[1], supersolvable group[2], and metabelian group[3].

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.

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APA 4ort.xyz Knowledge Graph. (2026). metacyclic group. Retrieved May 7, 2026, from https://4ort.xyz/entity/metacyclic-group
MLA “metacyclic group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/metacyclic-group.
BibTeX @misc{4ortxyz_metacyclic-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{metacyclic group}}, year = {2026}, url = {https://4ort.xyz/entity/metacyclic-group}, note = {Accessed: 2026-05-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): metacyclic group — https://4ort.xyz/entity/metacyclic-group (retrieved 2026-05-07)

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