Usually means: Subgroup invariant under all conjugations.
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We found 5 dictionaries that define the word normal subgroup:

General (2 matching dictionaries)
  1. normal subgroup: Wiktionary
  2. Normal subgroup: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. normal subgroup: Encyclopedia

Science (2 matching dictionaries)
  1. Normal Subgroup: Eric Weisstein's World of Mathematics
  2. normal subgroup: PlanetMath Encyclopedia

Definitions from Wiktionary (normal subgroup)

noun:  (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.

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