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searching for Inner automorphism 13 found (103 total)

Levi decomposition (483 words) [view diff] no match in snippet view article find links to article

(1942) showed that any two Levi subalgebras are conjugate by an (inner) automorphism of the form exp ⁡ ( a d ( z ) ) {\displaystyle \exp(\mathrm {ad}

Free-by-cyclic group (390 words) [view diff] exact match in snippet view article find links to article

automorphism, that is, φ = ψ ι {\displaystyle \varphi =\psi \iota } for some inner automorphism ι {\displaystyle \iota } , the free-by-cyclic groups F ⋊ φ Z {\displaystyle

Automorphism of a Lie algebra (714 words) [view diff] exact match in snippet view article find links to article

{\displaystyle e^{\operatorname {ad} (x)},x\in {\mathfrak {g}}} is called the inner automorphism group of g {\displaystyle {\mathfrak {g}}} . The group is denoted

Homeomorphism (1,640 words) [view diff] exact match in snippet view article find links to article

right translation y ↦ y x , {\displaystyle y\mapsto yx,} and the inner automorphism y ↦ x y x − 1 {\displaystyle y\mapsto xyx^{-1}} are homeomorphisms

Fitting subgroup (1,318 words) [view diff] exact match in snippet view article find links to article

A group is said to be quasi-nilpotent if every element acts as an inner automorphism on every chief factor. The generalized Fitting subgroup is the unique

N-curve (1,938 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \alpha \to \gamma ^{-1}\cdot \alpha \cdot \gamma } is an inner automorphism of the group G. We use these concepts to define n-curves and n-curving

Fundamental polygon (5,995 words) [view diff] exact match in snippet view article find links to article

onto Γ2. A different choice of f changes θ by composition with an inner automorphism: such isomorphisms are said to be equivalent. Two isomorphisms θ and

N-group (category theory) (2,037 words) [view diff] exact match in snippet view article

arXiv:math/0307200v3. Roberts, David Michael; Schreiber, Urs (2008). "The inner automorphism 3-group of a strict 2-group". Journal of Homotopy and Related Structures

Borel–de Siebenthal theory (3,339 words) [view diff] exact match in snippet view article find links to article

symmetric, since the subalgebra is the fixed point algebra of an inner automorphism of period 2, apart from G2/A2, F4/A2×A2, E6/A2×A2×A2, E7/A2×A5 and

Weyl group (3,252 words) [view diff] exact match in snippet view article find links to article

maximal torus, but the resulting groups are all isomorphic (by an inner automorphism of G), since maximal tori are conjugate. If G is compact and connected

Semilinear map (2,059 words) [view diff] exact match in snippet view article find links to article

u=\sigma (\lambda )\varphi (u)} , and σ {\displaystyle \sigma } is an inner automorphism of R {\displaystyle R} . Thus, the homothety x ↦ α x {\displaystyle

Jordan operator algebra (2,717 words) [view diff] exact match in snippet view article find links to article

p is a projection. Two projections are equivalent if there is an inner automorphism carrying one onto the other. Given two projections in a factor, one

Artin transfer (group theory) (28,815 words) [view diff] exact match in snippet view article

_{x}(i)}^{-1}xg_{i}=g_{i}^{-1}xg_{i}.} Finally, an application of the inverse inner automorphism with g i {\displaystyle g_{i}} yields x = 1 {\displaystyle x=1} ,