Math 2.0

Group theory and generalizations Concept

Subgroup generated by a subset

Summary

The subgroup generated by a subset of a group is the smallest subgroup that contains the subset. Its elements are the finite products of elements of the subset and their inverses.

Where this leads

11 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Generating_set_of_a_group, lead section
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MSC20A05
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