Characteristic subgroup

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At a glance

Class

Notion

Domain

Science and technology

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What Wikipedia says

In group theory, a characteristic subgroup is a subgroup that is mapped to itself by every automorphism of the parent group. Because every conjugation map is an inner automorphism, every characteristic subgroup is normal; though the converse is not true.

Excerpt from the Wikipedia article “Characteristic subgroup”, under the CC BY-SA 4.0 license. Read the article on Wikipedia