On this page you'll find 10+ example sentences with Conjugacy. Discover the meaning, how to use the word correctly in a sentence.
Conjugacy in a sentence
Conjugacy meaning
The condition or state of being conjugate.
Using Conjugacy
- The main meaning on this page is: The condition or state of being conjugate.
- In the example corpus, conjugacy often appears in combinations such as: conjugacy classes, conjugacy class, the conjugacy.
Context around Conjugacy
- Average sentence length in these examples: 24.9 words
- Position in the sentence: 2 start, 7 middle, 2 end
- Sentence types: 11 statements, 0 questions, 0 exclamations
Corpus analysis for Conjugacy
- In this selection, "conjugacy" usually appears in the middle of the sentence. The average example has 24.9 words, and this corpus slice is mostly made up of statements.
- Around the word, two, interpretation, cases, classes, class and portion stand out and add context to how "conjugacy" is used.
- Recognizable usage signals include always a conjugacy class the and and certain conjugacy classes in. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "conjugacy" sits close to words such as aab, aamer and aave, which helps place it inside the broader word index.
Example types with conjugacy
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
The Monster has at least 44 conjugacy classes of maximal subgroups. (11 words)
The class number of G is the number of distinct (nonequivalent) conjugacy classes. (13 words)
The image under an automorphism of a conjugacy class is always a conjugacy class (the same or another). (18 words)
By contrast, if n is even, then 4 divides the order of the group, and the subgroups of order 2 are no longer Sylow subgroups, and in fact they fall into two conjugacy classes, geometrically according to whether they pass through two vertices or two faces. (46 words)
McKay's E 8 observation There are also connections between the Monster and the extended Dynkin diagrams specifically between the nodes of the diagram and certain conjugacy classes in the Monster, known as McKay's E 8 observation. (38 words)
Geometric interpretation Conjugacy classes in the fundamental group of a path-connected topological space can be thought of as equivalence classes of free loops under free homotopy. (27 words)
Example sentences (11)
The image under an automorphism of a conjugacy class is always a conjugacy class (the same or another).
By contrast, if n is even, then 4 divides the order of the group, and the subgroups of order 2 are no longer Sylow subgroups, and in fact they fall into two conjugacy classes, geometrically according to whether they pass through two vertices or two faces.
Geometric interpretation Conjugacy classes in the fundamental group of a path-connected topological space can be thought of as equivalence classes of free loops under free homotopy.
He developed the Hering's law of equal innervation to describe the conjugacy of eye movements in animals.
In some cases, conjugacy classes can be described in a uniform way – for example, in the symmetric group they can be described by cycle structure.
Knowledge of the divisors of the group order G can often be used to gain information about the order of the center or of the conjugacy classes.
McKay's E 8 observation There are also connections between the Monster and the extended Dynkin diagrams specifically between the nodes of the diagram and certain conjugacy classes in the Monster, known as McKay's E 8 observation.
The class number of G is the number of distinct (nonequivalent) conjugacy classes.
The Monster has at least 44 conjugacy classes of maximal subgroups.
These rely on J. L. Alperin 's strengthening of the conjugacy portion of Sylow's theorem to control what sorts of elements are used in the conjugation.
The translations by a given distance in any direction form a conjugacy class; the translation group is the union of those for all distances.
Common combinations with conjugacy
These word pairs occur most frequently in English texts: