normal subgroup

English

Etymology

The term was coined by Évariste Galois.

Noun

normal subgroup (plural normal subgroups)

1. (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

• Finnish: normaali aliryhmä
• 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