User:LinkBot/suggestions/Automorphism

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An automated Wikipedia link suggester has suggested 3 possible wiki links and 27 possible backlinks for the Automorphism article:

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I like it, I hate it, Please don't link to — LinkBot 01:01, 18 Dec 2004 (UTC)

[edit] Outward links

• Can link order-preserving: ...sms (this follows from the fact that such automorphisms are order-preserving). In the case of the [[complex number]]s, '''C''', there is... (link to section)
• Can link quotient group: ...normal subgroup]] of Aut(''G''), denoted by Inn(''G''). The quotient group Aut(''G'') / Inn(''G'') is usually denoted by Out... (link to section)
• Can link invertible element: ...ng]] or [[algebra over a field|algebra]] where ''a'' is any invertible element. For [[Lie algebra]]s the definition is slightly different.... (link to section)

[edit] Inward links

Additionally, there are some other articles which may be able to linked to this one (also known as "backlinks"):

• In Field extension, can backlink automorphism: ...''R'''/'''Q''' is not a Galois extension, as the only field automorphism of '''R''' is the identity automorphism.
• In Group homomorphism, can backlink automorphism group: ...' of ''G''. It is denoted by Aut(''G''). As an example, the automorphism group of ('''Z''', +) contains only two elements, the identity an...
• In Group isomorphism, can backlink automorphism: ...lled an '''automorphism''' of ''G''. The composition of two automorphism is again an automorphism, and with this operation the set o...
• In Hilbert space, can backlink automorphism group: ...tics)|group]] under composition, which can be viewed as the automorphism group of ''H''....
• In Group theory, can backlink automorphism: ...e the internal symmetry of other structures, in the form of automorphism groups. An internal symmetry of a structure is usually asso...
• In Semidirect product, can backlink automorphism: ...ations and reflections). Every orthogonal matrix acts as an automorphism on '''R'''² by matrix multiplication....
• In Distribution, can backlink automorphism: ...inary [[continuous Fourier transform]] ''F'' yields then an automorphism of Schwartz-space, and we can define the Fourier transform ...
• In Complex conjugate, can backlink automorphism: ...al operations, and hence is a [[field (mathematics)|field]] automorphism. As it keeps the real numbers fixed, it is an element of th...
• In Projective space, can backlink automorphism: ...'' − 1. It is also highly symmetric, since any linear automorphism of ''V'' gives rise to a symmetry of P(''V''). These in the...
• In Conformal geometry, can backlink automorphism group: ...ike conformal geometries. For three or more dimensions, its automorphism group is [[generalized special orthogonal group|SO(n,2)]]....
• In Leech lattice, can backlink automorphism group: ...olay code]]. The Leech lattice is highly symmetrical. Its automorphism group is the double cover of the [[Conway group]] Co₁;...
• In Moduli space, can backlink automorphism group: ...; unique, that is, up to composition with an element of the automorphism group PGL(2) of '''P'''¹. So we begin by classifying ...
• In Separable polynomial, can backlink automorphism: ...nseparable field extension]]. It is of degree p, but has no automorphism fixing K, other than the identity, because T^1/p ...
• In Birational geometry, can backlink automorphism group: ...s, for a given [[field (mathematics)|field]] K, this is the automorphism group over K of the field K(X,Y) of rational functions in two var...
• In Conjugate element (field theory), can backlink automorphism: ...or ''g'' in ''G'' will be a conjugate of α, since the automorphism ''g'' sends roots of ''P'' to roots of ''P''. Conversely an...
• In Isomorphism of categories, can backlink automorphism: ...cation with an element ''g'' of ''G'' yields a ''k''-linear automorphism of ''M'' (since ''g'' is invertible in ''kG''), which descr...
• In Hyperelliptic curve, can backlink automorphism: ...'' and ''2m'' can be unified, since we might as well use an automorphism of the projective line to move any [[ramification]] point a...
• In Complex multiplication, can backlink automorphism: ...p>2</sup> = 4X³ &minus; aX'', having an order 4 automorphism sending...
• In Quantum logic, can backlink automorphism: ...aracterizing quantum probability measures quoted above, any automorphism &alpha; induces a mapping &alpha;* on the density operators...
• In Triality, can backlink automorphism group: ...b>3</sub> group of [[outer automorphism]]s of Spin(8). This automorphism group permutes the three 8-dimensional [[irreducible representati...
• In Stone-von Neumann theorem, can backlink automorphism: ...arrow \operatorname{M}(-h^{-1} b,h a, c -a b) </math> is an automorphism of H_''n'' which is the identity on the center o...
• In Cayley transform, can backlink automorphism: ...near fractional transformation]]. It can be extended to an automorphism of the [[Riemann sphere]]. ...
• In Frobenius automorphism, can backlink automorphism: In [[mathematics]], the '''Frobenius automorphism''' is an automorphism induced by a prime power mapping defined for various extens...
• In Classification of Clifford algebras, can backlink automorphism: ...b{C})</math>. and therefore isomorphic (since &alpha; is an automorphism). These two isomorphic algebras are each central simple and...
• In Hurwitz's automorphisms theorem, can backlink automorphism group: ...yperbolic geometry|hyperbolic plane]]. In order to make the automorphism group as large as possible, we want the area of a triangular fund...
• In Splitting of prime ideals in Galois extensions, can backlink automorphism: ...nd ''P''_''j'' to itself, but induce the identity automorphism on...
• In Lickorish-Wallace theorem, can backlink automorphism: ...Lickorish twist theorem]], which states that any orientable automorphism of a closed orientable [[surface]] is generated by [[Dehn t...