Category:Definitions/Conjugacy
Jump to navigation
Jump to search
This category contains definitions related to Conjugacy in the context of Group Theory.
Related results can be found in Category:Conjugacy.
Let $\struct {G, \circ}$ be a group.
Definition 1
The conjugacy relation $\sim$ is defined on $G$ as:
- $\forall \tuple {x, y} \in G \times G: x \sim y \iff \exists a \in G: a \circ x = y \circ a$
Definition 2
The conjugacy relation $\sim$ is defined on $G$ as:
- $\forall \tuple {x, y} \in G \times G: x \sim y \iff \exists a \in G: a \circ x \circ a^{-1} = y$
Subcategories
This category has only the following subcategory.
C
- Definitions/Conjugacy Action (5 P)
Pages in category "Definitions/Conjugacy"
The following 9 pages are in this category, out of 9 total.
C
- Definition:Conjugacy Class
- Definition:Conjugate (Group Theory)
- Definition:Conjugate (Group Theory)/Element
- Definition:Conjugate (Group Theory)/Element/Also defined as
- Definition:Conjugate (Group Theory)/Element/Also known as
- Definition:Conjugate (Group Theory)/Element/Definition 1
- Definition:Conjugate (Group Theory)/Element/Definition 2
- Definition:Conjugate (Group Theory)/Subset
- Definition:Conjugate (Group Theory)/Subset/Also defined as