normal subgroup

Questions

What does normal subgroup mean?

A subgroup H of a group G that is invariant under conjugation; that is, for all elements h of H and for all elements g in G, the element ghg⁻¹ is in H.

Where does normal subgroup come from?

The term was coined by Évariste Galois.

How to pronounce normal subgroup

1. Open the pronunciation page — Open the Speakur entry for “normal subgroup”.
2. Read the phonetic spelling — Read the IPA spelling () so you know which sounds to aim for.
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4. Repeat and practice — Say “normal subgroup” aloud, matching stress and vowels until it feels natural.