Word.ws English Dictionary

group functor

group functor noun: a group object that is an object in a category of functors; a functor with certain properties that generalise the concept of group.

Noun

group functor (plural group functors)

  1. A group object that is an object in a category of functors; a functor with certain properties that generalise the concept of group.
    • In order to be able to efficiently state the main results of this chapter (in §4) we formulate here a group-functor version of the R-nilpotent tower lemma (Ch.III, 6.4).1972, A. K. Bousfield, D. M. Kan, Homotopy Limits, Completions and Localizations, Springer, page 106
    • A direct product of k–group functors is again a k–group functor; so is a fibre product if the morphisms used in its construction are homomorphisms of k–group functors.2003, Jens Carsten Jantzen, Representations of Algebraic Groups, 2nd edition, American Mathematical Society, page 20

Forms of group functor

pluralgroup functors

Questions about group functor

What does group functor mean?
Group functor means a group object that is an object in a category of functors; a functor with certain properties that generalise the concept of group.
What part of speech is group functor?
Group functor is a noun.
What is the plural of group functor?
The plural of group functor is group functors.

Words near group functor in the dictionary

  1. group certificate
  2. group certificates
  3. group chat
  4. group chats
  5. group dynamics
  6. group functor
  7. group functors
  8. group home
  9. group homes
  10. group leader
  11. group leaders

Source and license

Adapted from Wiktionary: group functor (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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