Usually means: Group with non-commutative operations.
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We found 4 dictionaries that define the word non-Abelian:

General (2 matching dictionaries)
  1. non-Abelian: Wiktionary
  2. Non-abelian: Wikipedia, the Free Encyclopedia

Science (2 matching dictionaries)
  1. Non-Abelian: Eric Weisstein's World of Mathematics
  2. non-Abelian, non-Abelian: PlanetMath Encyclopedia

Definitions from Wiktionary (Non-Abelian)

adjective:  Alternative form of nonabelian. [Not abelian.]

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