conjugacy
Noun
Meaning
conjugacy (countable and uncountable, plural conjugacies)
(mathematics) The condition or state of being conjugate.
Examples
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.
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.
He developed the Hering's law of equal innervation to describe the conjugacy of eye movements in animals.
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.