Math 2.0

Concept

Transitively normal subgroup

Summary

In mathematics, in the field of group theory, a subgroup of a group is said to be transitively normal in the group if every normal subgroup of the subgroup is also normal in the whole group. In symbols, HH is a transitively normal subgroup of GG if for every KK normal in HH, we have that KK is normal in GG.

Further reading

  1. Wikipedia, page 4938714, revision 1217768944, Transitively normal subgroup. adopted
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Changed4 November 2026

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