Examples of 'automorphisms' in a sentence
Meaning of "automorphisms"
automorphism (noun): In mathematics, it refers to an isomorphism from a mathematical object to itself. It is used in group theory, linear algebra, and other branches of mathematics
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- plural of automorphism
How to use "automorphisms" in a sentence
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automorphisms
The other automorphisms are called outer automorphisms.
As isometry group these are all automorphisms.
These automorphisms are called general covariant transformations.
A curve is stable if it has only a finite group of automorphisms.
Find all automorphisms of the real numbers.
Graph families defined by their automorphisms.
The class of automorphisms of a is denoted auta.
A homomorphism from a group to a group of automorphisms.
On the automorphisms of the classical group.
An asymmetric graph is a graph for which there are no other automorphisms.
Normal automorphisms of relatively hyperbolic groups.
Normal subgroups are characterized as subgroups invariant under class automorphisms.
Automorphisms play a crucial role in the study of smooth planes.
Almost all planar graphs have an exponential number of automorphisms.
Much of her research concerns the automorphisms in different varieties of groups.
See also
The functions considered are invariant under a suitable automorphisms group.
Under the automorphisms.
An important result about definable sets is that they are preserved under automorphisms.
Maps with nontrivial automorphisms correspond to points with isotropy in the orbifold.
Because of the group of automorphisms.
The set of all the automorphisms of a graph is a group for the composition.
Acts on itself by inner automorphisms.
For abelian groups all automorphisms except the trivial one are called outer automorphisms.
N is preserved by inner automorphisms.
Automorphisms may be defined in this way both for directed graphs and for undirected graphs.
Invariance under automorphisms.
Automorphisms of a Euclidean space are motions and reflections.
Group of automorphisms.
Algebraic varieties differ widely in how many birational automorphisms they have.
Restriction to inner automorphisms gives a function on G with interesting properties.
His research deals with complex dynamics and dynamics of automorphisms of algebraic surfaces.
All Bernoulli automorphisms are Kolmogorov automorphisms but not vice versa.
Hall On the order of groups of automorphisms.
Similarity of Automorphisms of the Torus.
Dualities can be viewed in the context of the Heawood graph as color reversing automorphisms.
These symmetries correspond to the outer automorphisms of the symmetric group on six elements.
Automorphisms of Coxeter groups.
In the same year he wrote on automorphisms of complex Lie groups.
These 7 maximal orders are all equivalent under automorphisms.
Her doctoral thesis was titled Automorphisms and coverings of Klein surfaces.
Then I study the cases where there is a birational model where these automorphisms are regular.
Inner automorphisms of a group, normal subgroups and quotient groups.
See details at character table, outer automorphisms.
Like above, the group of automorphisms of space induces a group action on objects in it.
The Skolem-Noether theorem characterizes the automorphisms of simple rings.
The set of all automorphisms of an object forms a group, called the automorphism group.
In geometry, hyperbolic motions are isometric automorphisms of a hyperbolic space.
This can become rather complicated, especially if the objects have many non-identity automorphisms.
Another important question is the existence of automorphisms in recursion-theoretic structures.
Automorphisms of a Euclidean space are shifts, rotations, reflections and compositions of these.
