Examples of 'group homomorphism' in a sentence
Meaning of "group homomorphism"
group homomorphism: Refers to a mathematical concept involving the mapping or function between two algebraic structures, preserving the operation between elements of the structures
How to use "group homomorphism" in a sentence
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group homomorphism
Then there is induced a canonical group homomorphism.
Thus a semigroup homomorphism between groups is necessarily a group homomorphism.
Its inverse is also a group homomorphism.
The kernel of a group homomorphism always contains the neutral element.
Suppose are two groups and is an onto group homomorphism.
The purpose of defining a group homomorphism is to create functions that preserve the algebraic structure.
Thus the absolute norm extends uniquely to a group homomorphism.
The modular function is a continuous group homomorphism into the multiplicative group of positive real numbers.
The last two staments correspond to the requirement that D is a group homomorphism.
And is also a group homomorphism.
Equivalently, it is a diffeomorphism which is also a group homomorphism.
Moreover, every Lie group homomorphism induces a homomorphism between the corresponding Lie algebras.
A continuous map between two topological spaces induces a group homomorphism between the associated homotopy groups.
Group homomorphism follows from the definition of the group law on G / N, or in.
Hence we have a group homomorphism.
See also
Since it respects the multiplication in both groups, this map is a group homomorphism.
For Lie groups, a bijective smooth group homomorphism whose inverse is also a smooth group homomorphism.
A representation of G on an n-dimensional real vector space is simply a group homomorphism.
A group homomorphism f, G → H can then be considered as a functor, which makes G into a H-category.
However, the character is not a group homomorphism in general.
Epimorphism A group homomorphism that is surjective ( or, onto ) ; i.e., reaches every point in the codomain.
If " C " is a group, then this action is a group homomorphism.
Isomorphism A group homomorphism that is bijective ; i.e., injective and surjective.
Moreover, this bijection is a group homomorphism ( thus an isomorphism ),.
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Examples of using Homomorphism
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A bijective monoid homomorphism is called a monoid isomorphism
An isomorphism of super vector spaces is a bijective homomorphism
An endomorphism is a homomorphism from an algebraic structure to itself
Examples of using Group
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Salbutamol is one of a group of medicines called bronchodilators
No group of people is more or less deserving of protection
Donor support working group meetings were held
