Examples of 'profinite' in a sentence
Meaning of "profinite"
Profinite is a mathematical term used in algebra and number theory to describe a specific type of topological group
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- Describing certain topological groups formed from finite groups
How to use "profinite" in a sentence
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profinite
In fact any profinite group is a compact group.
Such spaces are also called profinite spaces.
And a profinite language is a set of profinite word.
It is a special case of the profinite topology on a group.
Profinite groups can be defined in either of two equivalent ways.
The next example uses profinite identities.
A profinite group is projective if it has the lifting property for every extension.
Each finite words are profinite words.
Examples using profinite words that are not finite are now given.
Galois groups for infinite extensions are profinite groups.
Projective profinite group.
Such spaces are also useful in the study of profinite groups.
Order of a profinite group.
Those profinite groups with finite Prüfer rank are more amenable to analysis.
A basic example is a profinite completion.
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Equivalently, a locally profinite group is a topological group that is Hausdorff locally compact and totally disconnected.
We then use this to determine the action of GS on prime order profinite torsion.
It is a profinite group.
The group of p-adic integers Zp under addition is profinite in fact procyclic.
A few examples of profinite words which are not finite are now given.
Furthermore, recognizability is used in is the subject of Profinite Semigroups.
Formal scheme Profinite integer Zariski ring.
Then Shafarevich 's conjecture asserts that the absolute Galois group of K is a free profinite group.
In particular, all profinite groups are residually finite.
Abstract, We prove several abstract criteria for semi-simplicity of I-adic representations of profinite groups.
Further, being profinite is an extension property.
Since it is also totally disconnected, G ( k ) is a profinite group but not finite.
Basic examples of locally profinite groups are discrete groups and p-adic Lie group.
Let F be a countably ( topologically ) generated profinite group.
RIMS共同研究 （ 公開型 ） 「 Profinite monodromy Galois representations and Complex functions.
