Get to know Profinite better with 4 real example sentences, the meaning.
Profinite in a sentence
Profinite meaning
Describing certain topological groups formed from finite groups
Using Profinite
- The main meaning on this page is: Describing certain topological groups formed from finite groups
- In the example corpus, profinite often appears in combinations such as: profinite groups, profinite group.
Context around Profinite
- Average sentence length in these examples: 20.3 words
- Position in the sentence: 1 start, 2 middle, 1 end
- Sentence types: 4 statements, 0 questions, 0 exclamations
Corpus analysis for Profinite
- In this selection, "profinite" usually appears in the middle of the sentence. The average example has 20.3 words, and this corpus slice is mostly made up of statements.
- Around the word, projective, generated, groups and group stand out and add context to how "profinite" is used.
- Recognizable usage signals include books about profinite groups and dual to profinite groups i. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "profinite" sits close to words such as aaai, aani and aarne, which helps place it inside the broader word index.
Example types with profinite
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Review of several books about profinite groups. (7 words)
Projective profinite groups A profinite group is projective if it has the lifting property for every extension. (17 words)
Therefore the topology on a topologically finitely-generated profinite group is uniquely determined by its algebraic structure. (17 words)
Ind-finite groups There is a notion of ind-finite group, which is the concept dual to profinite groups; i.e. a group G is ind-finite if it is the direct limit of an inductive system of finite groups. (40 words)
Projective profinite groups A profinite group is projective if it has the lifting property for every extension. (17 words)
Therefore the topology on a topologically finitely-generated profinite group is uniquely determined by its algebraic structure. (17 words)
Example sentences (4)
Projective profinite groups A profinite group is projective if it has the lifting property for every extension.
Ind-finite groups There is a notion of ind-finite group, which is the concept dual to profinite groups; i.e. a group G is ind-finite if it is the direct limit of an inductive system of finite groups.
Review of several books about profinite groups.
Therefore the topology on a topologically finitely-generated profinite group is uniquely determined by its algebraic structure.
Common combinations with profinite
These word pairs occur most frequently in English texts: