Examples of 'finite group' in a sentence
Meaning of "finite group"
finite group - In mathematics, a finite group is a group that has a finite number of elements.
How to use "finite group" in a sentence
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finite group
Every finite group of squarefree order is metacyclic.
Any finitely generated residually finite group.
Every finite group has a finite presentation.
Let be a field and let be a finite group.
Every element of a finite group has a finite order.
Let be a proper subgroup of a finite group.
Any finite group since the trivial subgroup is abelian.
A curve is stable if it has only a finite group of automorphisms.
With a finite group of characters.
It can be used to measure how close to be abelian a finite group is.
Rewrite expressions in a finite group using positive exponents only.
Representation theory of a finite group.
Any representation of a finite group is the block sum of irreducible representations.
We present a method to compute the invariant factors of this finite group.
Sporadic finite group.
See also
A locally finite group is a group for which every finitely generated subgroup is finite.
Character of a finite group.
It states that every finite group is the group of symmetries of a finite undirected graph.
Representations of a finite group.
A finite group is supersolvable if and only if every maximal subgroup has prime index.
G is a finite group.
This operation gives the symmetries of a polygon the algebraic structure of a finite group.
Being a finite group.
Any finite group may be given the structure of a complex Lie group.
They also arise in the applications of finite group theory to crystallography and to geometry.
Let k be a field and let G be a finite group.
Every finite group has the Howson property.
The orthogonality relations for characters of a finite group transfer to Dirichlet characters.
A finite group is an elementary group if it is p-elementary for some prime number pp.
The irreducible complex representations of a finite group G can be characterized using results from character theory.
Every cyclic group is virtually cyclic, as is every finite group.
Moreover any function on a finite group can be recovered from its discrete Fourier transform.
The names of conjugacy classes are taken from the Atlas of Finite Group Representations.
Let G be a finite group and k a field.
The celebrated Feit-Thompson theorem states that every finite group of odd order is solvable.
In particular a finite group G is a Frobenius group in at most one way.
The second part deals with equivariant operators on a compact manifold, acted upon by a finite group.
P-subgroups of a finite group must divide the order of the group.
He is known for Abhyankar 's conjecture of finite group theory.
In abstract algebra, a finite group is a mathematical group with a finite number of elements.
Some facts about thin and fat groups and about girths, Every finite group is thin.
Recall that a finite group is called a p-group if its order is a power of a prime pp.
This is a significant response from a finite group of issue-focused NGOs.
A simple finite group must be isomorphic to a group in one of the following families,.
In this case, the elements are within a finite group and the operation is the multiplication.
Every finite group is isomorphic to the syntactic monoid of some non-trivial language.
Over a field of characteristic zero, the representation of a finite group G has a number of convenient properties.
Interactions with finite group theory, particularly progress in the study of subgroup growth.
To be more precise, suppose that G is any nontrivial finite group.
Every finite group has a composition series, but not every infinite group has one.
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All finite fields of a given order are isomorphic
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Examples of using Group
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