Meanings
nounnormal subgroup (plural normal subgroups)
plural normal subgroups
- group theoryA 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.
Origin
The term was coined by Évariste Galois.
Full word history & related roots →Translations
Finnish normaali aliryhmä
- normaali aliryhmäsubgroup that is invariant under conjugation
French sous-groupe distingué
- sous-groupe distinguésubgroup that is invariant under conjugation
German Normalteiler, normale Untergruppe
- Normalteilersubgroup that is invariant under conjugation
- normale Untergruppesubgroup that is invariant under conjugation
Hungarian normálosztó
- normálosztósubgroup that is invariant under conjugation
Icelandic normleg hlutgrúpa, óbreytt hlutgrúpa
- normleg hlutgrúpasubgroup that is invariant under conjugation
- óbreytt hlutgrúpasubgroup that is invariant under conjugation
Italian sottogruppo normale, sottogruppo invariante
- sottogruppo normalesubgroup that is invariant under conjugation
- sottogruppo invariantesubgroup that is invariant under conjugation
Polish podgrupa normalna
- podgrupa normalnasubgroup that is invariant under conjugation
Spanish subgrupo normal
- subgrupo normalsubgroup that is invariant under conjugation
Cite this entry
APA
normal subgroup. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/normal%20subgroup
MLA
“normal subgroup.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/normal%20subgroup. Accessed November 3, 2026.
Chicago
WatkinsX Dictionary, s.v. “normal subgroup,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/normal%20subgroup.
Source: normal subgroup on Wiktionary, CC BY-SA 4.0.