Math 2.0

Group theory and generalizations Concept

Cyclic subgroup generated by an element

Summary

The cyclic subgroup generated by an element of a group is the set of all integer powers of the element. It is the smallest subgroup that contains the element.

Further reading

  1. Web https://en.wikipedia.org/wiki/Cyclic_group, Definition and notation
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Tag08ABT85339
URIm2://08ABT85339
Kindconcept
WritingW0 stub
MSC20A05
SpecializesSubgroup generated by a subset

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