normal subgroup

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