Category:Definitions/Centralizers
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This category contains definitions related to Centralizers.
Related results can be found in Category:Centralizers.
Let $\struct {G, \circ}$ be a group.
Let $a \in \struct {G, \circ}$.
The centralizer of $a$ (in $G$) is defined as:
- $\map {C_G} a = \set {x \in G: x \circ a = a \circ x}$
That is, the centralizer of $a$ is the set of elements of $G$ which commute with $a$.
Pages in category "Definitions/Centralizers"
The following 9 pages are in this category, out of 9 total.
C
- Definition:Centralizer
- Definition:Centralizer of Group Element
- Definition:Centralizer of Group Subset
- Definition:Centralizer of Ring Subset
- Definition:Centralizer of Subgroup
- Definition:Centralizer/Group Element
- Definition:Centralizer/Group Subset
- Definition:Centralizer/Ring Subset
- Definition:Centralizer/Subgroup