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subgroup

[suhb-groop]

noun

a subordinate group; a division of a group.

Chemistry. a division of a group in the periodic table.

Mathematics. a subset of a group that is closed under the group operation and in which every element has an inverse in the subset.

Origin:
1835–45; sub- + group

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Subgroup is always a great word to know.

So is addition. Does it mean:

a compound capable of changing state or becoming inactive when subjected to heat or radiation

a reaction in which two or more substances combine to form another compound

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Collins

World English Dictionary

subgroup (ˈsʌbˌɡruːp)

—n
1.	a distinct and often subordinate division of a group
2.	a mathematical group whose members are members of another group, both groups being subject to the same rule of combination

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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subgroup

sub·group