Examples of 'automorphism' in a sentence
Meaning of "automorphism"
automorphism (noun) - a mathematical concept referring to a function that maps a mathematical object onto itself
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- An isomorphism of a mathematical object or system of objects onto itself.
- The ascription to others of one's own characteristics.
How to use "automorphism" in a sentence
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automorphism
The automorphism group is sometimes denoted DiffM.
The structure of the automorphism group is as follows.
An automorphism always maps the identity to itself.
Then it generates a subgroup of the automorphism of group of.
A group automorphism is a group isomorphism from a group to itself.
The fixed point group of a free group automorphism.
An automorphism is a morphism that is both an endomorphism and an isomorphism.
Scale subgroups of automorphism groups of trees.
Automorphism groups appear very natural in category theory.
Perhaps the simplest automorphism is the identity function.
An automorphism is simply a bijective homomorphism of an object with itself.
Sometimes the term encompasses their automorphism groups.
An automorphism is an isomorphism whose source and target coincide.
The geometry of the outer automorphism group of a free group.
An automorphism is an endomorphism that is also an isomorphism.
See also
One can easily check that conjugation by a is a group automorphism.
The outer automorphism group is usually denoted OutG.
An isomorphism to itself is called an automorphism.
A ring automorphism is a ring isomorphism from a ring to itself.
He also gave some complicated conditions satisfied by the automorphism σ.
Q has no field automorphism other than the identity.
The finite quotient group is precisely the automorphism group.
The automorphism group is also called the isometry group.
Therefore e is a normal automorphism.
A field automorphism is a bijective ring homomorphism from a field to itself.
The second part deals with actions of automorphism groups on affine varieties.
Every class automorphism is a family automorphism and a quotientable automorphism.
Called an automorphism.
An automorphism of a group which is not inner is called an outer automorphism.
There is a canonical involutive automorphism on any superalgebra called the grade involution.
Automorphism is called an inner automorphism.
Order of automorphism group.
An order isomorphism from a partially ordered set to itself is called an order automorphism.
An automorphism is an isomorphism of a single field.
Let be an automorphism of.
The automorphism is an inner automorphism.
Is said to be an automorphism.
Graph automorphism problem.
That is to say that there exists a color interchanging automorphism of this graph.
Inner automorphism group.
The set of all autotopies of a quasigroup form a group with the automorphism group as a subgroup.
It is the automorphism group of the graph consisting of a path infinite to both sides.
Is an involutive automorphism of.
The exceptional automorphism corresponds to swapping the colors of the blue and red vertices.
This allows us to better understand the structure of these factors and their automorphism group.
On the automorphism group of a Lie group.
The compact form is simply connected and its outer automorphism group is the trivial group.
Every inner automorphism is an LA automorphism.
In this case it is sometimes called a Wigner automorphism.
The Schur multiplier and the outer automorphism group of the Monster are both trivial.
