Math 2.0

Concept

Verbal subgroup

Summary

In mathematics, in the area of abstract algebra known as group theory, a verbal subgroup is a subgroup of a group that is generated by all elements that can be formed by substituting group elements for variables in a given set of words. For example, given the word x2x^2, the corresponding verbal subgroup is the group generated by all squares.

Further reading

  1. Wikipedia, page 21674070, revision 1361555339, Verbal subgroup. adopted
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