normal subgroup

Summary

normal subgroup ranks in the top 2% of general entities by monthly Wikipedia readership (271 views/month).^[1]

Key Facts

• normal subgroup's subclass of is recorded as seminormal subgroup^[2].
• normal subgroup's subclass of is recorded as pronormal subgroup^[3].
• normal subgroup's subclass of is recorded as subnormal subgroup^[4].
• normal subgroup's Freebase ID is recorded as /m/05hm5^[5].
• normal subgroup's defining formula is recorded as N \triangleleft G \iff \forall g\in G\forall n\in N\colon gng^{-1}\in N^[6].
• normal subgroup's studied by is recorded as group theory^[7].
• normal subgroup's MathWorld ID is recorded as NormalSubgroup^[8].
• normal subgroup's nLab ID is recorded as normal subgroup^[9].
• normal subgroup's Larousse ID is recorded as divers/sous-groupe_distingué_dun_groupe_G_non_abélien/44046^[10].
• normal subgroup's maintained by WikiProject is recorded as WikiProject Mathematics^[11].
• normal subgroup's Microsoft Academic ID is recorded as 105515060^[12].
• normal subgroup's ProofWiki ID is recorded as Definition:Normal_Subgroup^[13].
• normal subgroup's Encyclopedia of Mathematics article ID is recorded as Normal_subgroup^[14].
• normal subgroup's PlanetMath ID is recorded as NormalSubgroup^[15].
• normal subgroup's Group Properties article ID is recorded as Normal_subgroup^[16].
• normal subgroup's Treccani's Enciclopedia della Matematica ID is recorded as sottogruppo-normale^[17].
• normal subgroup's OpenAlex ID is recorded as C105515060^[18].
• normal subgroup's OpenAlex ID is recorded as C2992013202^[19].
• normal subgroup's invariant under is recorded as conjugation^[20].

Why It Matters

normal subgroup ranks in the top 2% of general entities by monthly Wikipedia readership (271 views/month).^[1] It has Wikipedia articles in 22 language editions, a strong signal of global cultural recognition.^[21] It is known by 24 alternative names across languages and contexts.^[22]