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algebra > group theory > quotient group

Preferred term

quotient group  

Definition

  • A quotient group or factor group is a mathematical group obtained by aggregating similar elements of a larger group using an equivalence relation that preserves some of the group structure (the rest of the structure is "factored" out). For example, the cyclic group of addition modulo n can be obtained from the group of integers under addition by identifying elements that differ by a multiple of n n and defining a group structure that operates on each such class (known as a congruence class) as a single entity. It is part of the mathematical field known as group theory.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Quotient_group)

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URI

http://data.loterre.fr/ark:/67375/PSR-DVCQLC9T-4

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