Examples of 'conjugacy' in a sentence
Meaning of "conjugacy"
conjugacy (noun) - In mathematics, a concept related to group theory which describes the equivalence of certain mathematical structures under a specific operation
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- The condition or state of being conjugate.
How to use "conjugacy" in a sentence
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conjugacy
Take one of the two conjugacy classes.
Conjugacy of subgroups and general subsets.
Such a length function is constant on each conjugacy class.
Conjugacy classes and centralizers.
A class function is one that is constant on conjugacy classes.
The conjugacy problem.
The total number of irreducible complex representations is the number of conjugacy classes.
Conjugacy as group action.
Finding the orders of the centralizers of representatives of the conjugacy classes of a group.
Conjugacy class equation.
Free homotopy classes of free loops correspond to conjugacy classes in the fundamental group.
The study of conjugacy classes figures prominently in the classical theory of division rings.
All elements belonging to the same conjugacy class have the same order.
The word and conjugacy search problems are in GenP for all fixed finitely presented groups.
The orbits with respect to two groups from the same conjugacy class are isomorphic.
See also
It is known that the conjugacy problem is undecidable for many classes of groups.
A more systematic procedure is outlined in the following section on Conjugacy.
In all abelian groups every conjugacy class is a set containing one element singleton set.
The collineation group is made up of 6 conjugacy classes.
The conjugacy class orders and sizes are found in the ATLAS.
N is a union of conjugacy classes of G.
The conjugacy problem in HNN extensions can be unsolvable even for free groups.
The following cycle structures each define a single conjugacy class,.
The names of conjugacy classes are taken from the Atlas of Finite Group Representations.
Thus, the number of irreducible representations equals the number of conjugacy classes,.
The property of being conjugacy-closed is sometimes also termed as being conjugacy stable.
Characters are class functions, that is, they each take a constant value on a given conjugacy class.
Up to conjugacy the discrete point groups in 2 dimensional space are the following classes,.
Because a cyclic group is abelian, each of its conjugacy classes consists of a single element.
The Conjugacy Rigidity problem is the theme of Chapter 2.
As a result, there are exactly 2r conjugacy classes of parabolic subgroups in G over k.
The class number of G is the number of distinct ( nonequivalent ) conjugacy classes.
For an abelian group, each conjugacy class is a set containing one element singleton set.
For groups realized over algebraically closed fields, there is a single conjugacy class of Borel subgroups.
Topological conjugacy FC-group Conjugacy-closed subgroup.
It can be shown that Co2 has just 3 conjugacy classes of involutions.
There are 9 conjugacy classes of maximal subgroups of J2.
There exists a Buchsteiner loop of order 128 which is not conjugacy closed.
The proofs rely on several facts about the conjugacy classes of elements and subsets of G,.
The symmetric group S3, consisting of the 6 permutations of three elements, has three conjugacy classes,.
More in detail the condition of conjugacy in bevel gearing is discussed in [ 1 ].
Co0 has 4 conjugacy classes of involutions.
It comprises 6 conjugacy classes.
The Monster has at least 44 conjugacy classes of maximal subgroups.
