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- Verbal_subgroup abstract "In mathematics, especially in the area of abstract algebra known as group theory, a verbal subgroup is any subgroup of a group definable as the subgroup generated by the set of all elements formed by choices of elements for a given set of words. For example, given the word xy, the corresponding verbal subgroup of would be generated by the set of all products of two elements in the group, substituting any element for x and any element for y, and hence would be the group itself. On the other hand the verbal subgroup of would be generated by the set of squares and their conjugates. Verbal subgroups are particularly important as the only fully characteristic subgroups of a free group and therefore represent the generic example of fully characteristic subgroups, (Magnus, Karrass & Solitar 2004, p. 75).".
- Verbal_subgroup wikiPageID "21674070".
- Verbal_subgroup wikiPageRevisionID "594678566".
- Verbal_subgroup hasPhotoCollection Verbal_subgroup.
- Verbal_subgroup subject Category:Infinite_group_theory.
- Verbal_subgroup subject Category:Subgroup_properties.
- Verbal_subgroup type Abstraction100002137.
- Verbal_subgroup type Possession100032613.
- Verbal_subgroup type Property113244109.
- Verbal_subgroup type Relation100031921.
- Verbal_subgroup type SubgroupProperties.
- Verbal_subgroup comment "In mathematics, especially in the area of abstract algebra known as group theory, a verbal subgroup is any subgroup of a group definable as the subgroup generated by the set of all elements formed by choices of elements for a given set of words. For example, given the word xy, the corresponding verbal subgroup of would be generated by the set of all products of two elements in the group, substituting any element for x and any element for y, and hence would be the group itself.".
- Verbal_subgroup label "Verbal subgroup".
- Verbal_subgroup sameAs m.05mz1k0.
- Verbal_subgroup sameAs Q7920943.
- Verbal_subgroup sameAs Q7920943.
- Verbal_subgroup sameAs Verbal_subgroup.
- Verbal_subgroup wasDerivedFrom Verbal_subgroup?oldid=594678566.
- Verbal_subgroup isPrimaryTopicOf Verbal_subgroup.