Category:Inner Automorphisms
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This category contains results about Inner Automorphisms.
Let $G$ be a group.
Let $x \in G$.
Let the mapping $\kappa_x: G \to G$ be defined such that:
- $\forall g \in G: \map {\kappa_x} g = x g x^{-1}$
$\kappa_x$ is called the inner automorphism of $G$ (given) by $x$.
Subcategories
This category has only the following subcategory.
Pages in category "Inner Automorphisms"
The following 11 pages are in this category, out of 11 total.
I
- Image of Mapping from Group Element to Inner Automorphism is Inner Automorphism Group
- Inner Automorphism Group is Isomorphic to Quotient Group with Center
- Inner Automorphism is Automorphism
- Inner Automorphism Maps Subgroup to Itself iff Normal
- Inner Automorphisms form Normal Subgroup of Automorphism Group
- Inner Automorphisms form Subgroup of Automorphism Group
- Inner Automorphisms form Subgroup of Symmetric Group
- Inverse of Inner Automorphism