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About: Metacyclic group     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatPropertiesOfGroups, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:WikicatSolvableGroupsyago:Abstraction100002137yago:Group100031264yago:Possession100032613yago:Property113244109yago:Relation100031921yago:WikicatPropertiesOfGroups New Facet based on Instances of this Class

In group theory, a metacyclic group is an extension of a cyclic group by a cyclic group. That is, it is a group G for which there is a short exact sequence where H and K are cyclic. Equivalently, a metacyclic group is a group G having a cyclic normal subgroup N, such that the quotient G/N is also cyclic.