Примери за използване на Finite groups на Английски и техните преводи на Български
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Abstract: Let K be a number field and let G be a finite group.
Definition: Let G be a finite group and F a field.
Theorem: Let G be a finite group and p be a prime.
In the questions below: is a finite group;
An algorithm is a finite group of operations organized in a logical manner that allows solving a particular problem.
An algorithm is a finite group of operations organized in a logical
Let be a finite group of elements and be the smallest prime factor of.
The necessary extension of representation theory was published by the author in a previous paper[The representation of a finite group as a group of automorphisms on a finite Abelian group(1950)].
It states that if G is a finite group and p is a prime number dividing the order of G(the number of elements in G),
There is a fundamental theorem holding in every finite group, usually called Fermat's Little Theorem because Fermat was the first to have proved a very special part of it.
It states that if G is a finite group and p is a prime number dividing the order of G(the number of elements in G),
proved Frobenius's conjecture that a finite group with an automorphism which does not fix any group element is necessarily nilpotent.
published as the paper The representation of a finite group as a group of automorphisms on a finite Abelian group(1950).
which states that the order of any subgroup of a finite group G divides the order of G. Cauchy's theorem implies that for any prime divisor p of the order of G, there is a
Almost all work on finite groups uses Sylow's theorems.
Maschke had worked in group theory, in particular working on finite groups of linear transformations.
the outcome of this period was two major publications on the irreducible representations of finite groups.
I shall develop the concept[of character for arbitrary finite groups] here in the belief that through its introduction, group theory will be substantially enriched.
A second major piece of work on finite groups was the study of the general linear group over the field with p elements, p prime.