Word.ws English Dictionary

quotient groups

quotient groups is the plural of quotient group.

Meaning of quotient group

Noun

quotient group (plural quotient groups)

  1. A group obtained from a larger group by aggregating elements via an equivalence relation that preserves group structure.
    • This paper shows how to compute the quotient groups Jⁿ/Jⁿ⁺¹ (as well as the multiplicative structure of the graded ring consisting of these quotient groups).1975, John R. Stallings, “Quotients of the Powers of the Augmentation Ideal in a Group Ring”, in Lee Paul Neuwirth, editor, Knots, Groups, and 3-manifolds: Papers Dedicated to the Memory of R. H....
    Synonyms:
    factor group

Questions about quotient groups

What is quotient groups the plural of?
Quotient groups is the plural of quotient group.

Words near quotient groups in the dictionary

  1. quotidianly
  2. quotidianness
  3. quotidians
  4. quotient
  5. quotient group
  6. quotient groups
  7. quotient map
  8. quotient maps
  9. quotient ring
  10. quotient rings
  11. quotient set

Source and license

Adapted from Wiktionary: quotient groups (page history and authors); quotient group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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