User:LinkBot/suggestions/Automorphism

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

&mdash; LinkBot 01:01, 18 Dec 2004 (UTC)

Outward links

 * Can link order-preserving: ...sms (this follows from the fact that such automorphisms are order-preserving ). In the case of the complex numbers, C, there is... (link to section)
 * Can link quotient group: ...normal subgroup]] of Aut(G), denoted by Inn(G). The quotient group Aut(G)&amp;nbsp;/&amp;nbsp;Inn(G) is usually denoted by Out... (link to section)
 * Can link invertible element: ...ng]] or algebra where a is any invertible element . For Lie algebras the definition is slightly different.... (link to section)

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&lt;sup&gt;2&lt;/sup&gt; 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 automorphism . As it keeps the real numbers fixed, it is an element of th...
 * In Projective space, can backlink automorphism: ... &amp;minus; 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 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 Co&lt;sub&gt;1&lt;/sub&gt;;...
 * In Moduli space, can backlink automorphism group: ...; unique, that is, up to composition with an element of the automorphism group PGL(2) of P&lt;sup&gt;1&lt;/sup&gt;. 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&lt;sup&gt;1/p&lt;/sup&gt; ...
 * In Birational geometry, can backlink automorphism group: ...s, for a given 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 &amp;alpha;, 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&gt;2&lt;/sup&gt; = 4X&lt;sup&gt;3&lt;/sup&gt; &amp;minus; aX'', having an order 4 automorphism sending...
 * In Quantum logic, can backlink automorphism: ...aracterizing quantum probability measures quoted above, any automorphism &amp;alpha; induces a mapping &amp;alpha;* on the density operators...
 * In Triality, can backlink automorphism group: ...b&gt;3&lt;/sub&gt; group of outer automorphisms 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) &lt;/math&gt; is an automorphism of H&lt;sub&gt;n&lt;/sub&gt; 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})&lt;/math&gt;. and therefore isomorphic (since &amp;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&lt;sub&gt;j&lt;/sub&gt; 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...