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meta·cyclic group

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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 1 → K → G → H → 1 , {\displaystyle 1\rightarrow K\rightarrow G\rightarrow H\rightarrow 1,\,} 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.

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metabolism, metabolize, metacarpal, metacarpals, metacrawler, metagogue, metagogued, metairie, metal

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