group functor
Word Rarity
Very rare
Frequency: Zipf frequency 2.15 in modern English
20
Scrabble Score
12
Letters
3
Syllables
9
Unique Chars
Meaning
noun
A group object that is an object in a category of functors; a functor with certain properties that generalise the concept of group.
Example Sentences
- "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)."
- "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."
- "By a group functor we mean a functor from small k-algebras to groups. A homomorphism of group functors is a natural transformation. A subgroup functor of a group functor G is a subfunctor H such that H(R) is a subgroup of G(R) for all R; it is normal if H(R) is normal in G(R) for all R."
Inflected Forms
Phrases
subgroup functor
Frequently Paired Words
subgroup functor