Category:Stabilizers
Jump to navigation
Jump to search
This category contains results about Stabilizers.
Let $G$ be a group.
Let $X$ be a set.
Let $*: G \times X \to X$ be a group action.
For each $x \in X$, the stabilizer of $x$ by $G$ is defined as:
- $\Stab x := \set {g \in G: g * x = x}$
where $*$ denotes the group action.
Pages in category "Stabilizers"
The following 17 pages are in this category, out of 17 total.
G
S
- Stabilizer in Group of Transformations
- Stabilizer is Normal iff Stabilizer of Each Element of Orbit
- Stabilizer is Subgroup
- Stabilizer of Cartesian Product of Group Actions
- Stabilizer of Coset Action on Set of Subgroups
- Stabilizer of Coset under Group Action on Coset Space
- Stabilizer of Element after Group Action
- Stabilizer of Element of Group Acting on Itself is Trivial
- Stabilizer of Element under Conjugacy Action is Centralizer
- Stabilizer of Polynomial
- Stabilizer of Subgroup Action is Identity
- Stabilizer of Subgroup Action on Left Coset Space
- Stabilizer of Subset Product Action on Power Set
- Stabilizers of Elements in Same Orbit are Conjugate Subgroups