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Wondering how to use Cosets in a sentence? Below are 9 example sentences from authentic English texts. Including the meaning .

Rare word

Cosets in a sentence

Cosets meaning

plural of coset

Using Cosets

  • The main meaning on this page is: plural of coset
  • In the example corpus, cosets often appears in combinations such as: cosets of, the cosets, right cosets.

Context around Cosets

  • Average sentence length in these examples: 31 words
  • Position in the sentence: 5 start, 2 middle, 2 end
  • Sentence types: 9 statements, 0 questions, 0 exclamations

Often before:

left 1× two 1×

Often after:

main 1×

Sentence patterns with Cosets

These short patterns come directly from the example sentences and show how the word is often embedded:

are the cosets of n 1× are the cosets that contain 1× connection between cosets and ideals 1× cosets main in 1× exactly two cosets 0 h 1× number of cosets which is 1× or right cosets g h 1× precisely the cosets of that 1×

Sentence openings and endings

Common sentence openings:

cosets main in 1× in a quotient 1× the connection between 1× the cosets of 1× the equivalence classes 1× the quotient group 1×

Common sentence endings:

a given subgroup 1× g h continuous 1× group structure itself 1× multiplication to addition 1× of multiplicative notation 1× that normal subgroup 1×

Words around Cosets

Just before it in the word index:

cosenza 5 cosentyx 2 cosentino 11 cosell 4 coseley 7 coseismic 2

Just after it in the word index:

cosette 7 cosewic 2 cosey 6 cosford 4 cosgrave 11 cosgrove 61

Similar in corpus frequency:

aanholt 13 aave 13 abati 13 abbeville 13 abcc 13 abelard 13

Corpus analysis for Cosets

  • In this selection, "cosets" usually appears near the start of the sentence. The average example has 31 words, and this corpus slice is mostly made up of statements.
  • Around the word, left, two and main stand out and add context to how "cosets" is used.
  • Recognizable usage signals include are the cosets of n and are the cosets that contain. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "cosets" sits close to words such as aanholt, aave and abati, which helps place it inside the broader word index.

Example types with cosets

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

The connection between cosets and ideals can be seen by switching the operation from "multiplication" to "addition". (17 words)

Cosets main In many situations it is desirable to consider two group elements the same if they differ by an element of a given subgroup. (25 words)

The quotient group Aut(G) / Inn(G) is usually denoted by Out(G); the non-trivial elements are the cosets that contain the outer automorphisms. (25 words)

Longer example sentences

These are the cosets of N in G. Because we started with a group and normal subgroup, the final quotient contains more information than just the number of cosets (which is what regular division yields), but instead has a group structure itself. (42 words)

If H is a subgroup of G, the set of left or right cosets G/H is a topological space when given the quotient topology (the finest topology on G/H which makes the natural projection q : G → G/H continuous). (41 words)

In a quotient of a group, the equivalence class of the identity element is always a normal subgroup of the original group, and the other equivalence classes are precisely the cosets of that normal subgroup. (35 words)

Example sentences (9)

The equivalence classes of ~ also called the orbits of the action of H on G are the right cosets of H in G. Interchanging a and b yields the left cosets.

These are the cosets of N in G. Because we started with a group and normal subgroup, the final quotient contains more information than just the number of cosets (which is what regular division yields), but instead has a group structure itself.

Cosets main In many situations it is desirable to consider two group elements the same if they differ by an element of a given subgroup.

If H is a subgroup of G, the set of left or right cosets G/H is a topological space when given the quotient topology (the finest topology on G/H which makes the natural projection q : G → G/H continuous).

In a quotient of a group, the equivalence class of the identity element is always a normal subgroup of the original group, and the other equivalence classes are precisely the cosets of that normal subgroup.

The connection between cosets and ideals can be seen by switching the operation from "multiplication" to "addition".

The cosets of N are the sets of matrices with a given determinant, and hence G/N is isomorphic to the multiplicative group of non-zero real numbers.

Then there are exactly two cosets: 0 + H, which are the even integers, and 1 + H, which are the odd integers (here we are using additive notation for the binary operation instead of multiplicative notation).

The quotient group Aut(G) / Inn(G) is usually denoted by Out(G); the non-trivial elements are the cosets that contain the outer automorphisms.

Common combinations with cosets

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "cosets" in a sentence?
An example: "The equivalence classes of ~ also called the orbits of the action of H on G are the right cosets of H in G. Interchanging a and b yields the left cosets." This page contains 9 example sentences with the word "cosets" from authentic English texts.
What does "cosets" mean?
Cosets means: plural of coset
How many example sentences with "cosets" are there?
Voorbeeldzinnen.info contains 9 example sentences with "cosets", drawn from a database of millions of English sentences.