GroupTheory
Centralizer
construct the centralizer of an element of a group
Calling Sequence
Parameters
Description
Examples
Compatibility
Centralizer( g, G )
Centraliser( g, G )
G
-
a permutation group or a Cayley table group
g
an element of G
The centralizer of an element of a group is the set of elements of that commute with . That is, an element of belongs to the centralizer of if, and only if, .
The Centralizer( g, G ) command constructs the centralizer of the element of a group G. The group G must be an instance of a permutation group, a group defined by a Cayley table, or a custom group that defines its own centralizer method.
The centralizer of in may also be thought of as the stabilizer of under the action of on itself by conjugation.
The Centraliser command is provided as an alias.
The GroupTheory[Centralizer] command was introduced in Maple 17.
For more information on Maple 17 changes, see Updates in Maple 17.
See Also
GroupTheory[Center]
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