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Abelian group

noun

a group the defined binary operation of which is commutative: if a and b are members of an Abelian group then ab = ba

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Nearby words

  1. abelard,
  2. abelard, peter,
  3. abele,
  4. abelia,
  5. abelian,
  6. abell-kendall method,
  7. abelmosk,
  8. abelson,
  9. abenaki,
  10. abeokuta

Word Origin for Abelian group

C19: named after Niels Henrik Abel (1802–29), Norwegian mathematician
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
Science definitions for abelian group

abelian group

See commutative group.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.