normal subgroup

English

Etymology

The term was coined by Évariste Galois.

Noun

normal subgroup (plural normal subgroups)

(group theory) 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.

Translations

subgroup that is invariant under conjugation

French: sous-groupe distingué m
German: Normalteiler (de) m, normale Untergruppe f
Icelandic: normleg hlutgrúpa f, óbreytt hlutgrúpa f

Italian: sottogruppo normale m, sottogruppo invariante m
Polish: podgrupa normalna f
Spanish: subgrupo normal m

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