Word.ws English Dictionary

group scheme

group scheme noun: a group object that is an object in a category of schemes; a scheme that has certain properties that generalise the concept of group.

Noun

group scheme (plural group schemes)

  1. (scheme theory) A group object that is an object in a category of schemes; a scheme that has certain properties that generalise the concept of group.
    • It is instructive to give a few explicit examples of such^([affine]) group schemes:1973, Jean A. Dieudonné, Introduction to the Theory of Formal Groups, Marcel Dekker, page 6
    • We will tend to use boldface characters, such as #92;mathbf#123;G#125;, for algebraic groups over k, as also for group schemes over #92;mathfrak#123;X#125; that are obtained from groups over k. A quintessential example is...2013, Philippe Gille, Arturo Pianzola, Torsors, Reductive Group Schemes and Extended Affine Lie Algebras, American Mathematical Society, page 11

Forms of group scheme

pluralgroup schemes

Questions about group scheme

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

Words near group scheme in the dictionary

  1. group punishments
  2. group representation constituencies
  3. group representation constituency
  4. group ring
  5. group rings
  6. group scheme
  7. group schemes
  8. group selection
  9. group setting
  10. group sex
  11. group stage

Source and license

Adapted from Wiktionary: group scheme (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.

Last updated:

Cite this entry: “group scheme.” Word.ws, https://word.ws/group_scheme. Based on Wiktionary, CC BY-SA 4.0.