Abelian group

/ (əˈbiːlɪən) /

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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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Word Origin for Abelian group

C19: named after Niels Henrik Abel (1802–29), Norwegian mathematician

Words nearby Abelian group

Abel, Abélard, abele, abelia, Abelian, Abelian group, Abe Lincoln in Illinois, Abell-Kendall method, Abel-meholah, abelmosk, Abelson

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

How to use Abelian group in a sentence

Before anti-vaxxers, there were anti-fluoriders: a group who spread fear about the anti-tooth decay agent added to drinking water.
Anti-Fluoriders Are The OG Anti-Vaxxers|Michael Schulson|July 27, 2016|DAILY BEAST
Asian-Americans are a group of persuadable swing voters, growing faster than any other group in America today.
Asian-Americans Are The New Florida|Tim Mak|January 8, 2015|DAILY BEAST
Latinos, the fastest growing minority group in America, are even more underrepresented in Congress.
The Unbearable Whiteness of Congress|Dean Obeidallah|January 8, 2015|DAILY BEAST
Yet only 24 percent of the 3,892 femicides the group identified in 2012 and 2013 were looked at by authorities.
Why Mexicans Are Enraged by Obama’s Big Tuesday Meeting|Ruben Navarrette Jr.|January 6, 2015|DAILY BEAST

Though tissues are present and tears are not uncommon, the Dinner Parties are distinctly not grief counseling or group therapy.
Everyone at This Dinner Party Has Lost Someone|Samantha Levine|January 6, 2015|DAILY BEAST
Fully two miles away, on the south side of the ravine, were the sepoy lines, and another group of isolated bungalows.
The Red Year|Louis Tracy
By far the most important of the conjugate sulphates and representative of the group is potassium indoxyl sulphate.
A Manual of Clinical Diagnosis|James Campbell Todd
Louis could not help seeing the lovely group, through the half-obscuring draperies of the open door.
The Pastor's Fire-side Vol. 3 of 4|Jane Porter
Each little family group had had its say and exchanged its domestic gossip earlier in the evening.
The Awakening and Selected Short Stories|Kate Chopin
Who has patience for the recapitulation of a string of names, when a group of faces may be placed simultaneously before him?
Blackwood's Edinburgh Magazine, No. CCCXXXIX. January, 1844. Vol. LV.|Various

Scientific definitions for Abelian group

abelian group

See commutative group.