Voorbeelden van het gebruik van Finite groups in het Engels en hun vertalingen in het Nederlands
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The Jordan-Hölder theorem is a more precise way of stating this fact about finite groups.
there is no classification of all finite groups.
is an American mathematician best known for his work on finite groups.
with John G. Thompson, proof of the Feit-Thompson theorem that all finite groups of odd order are solvable.
In fact, for many fields"K" one does not know in general precisely which finite groups occur as Galois groups over"K.
The following list in mathematics contains the finite groups of small order up to group isomorphism.
the construction of representations of finite groups of Lie type.
The Jordan-Hölder theorem exhibits finite simple groups as the building blocks for all finite groups.
A profinite group is a topological group that is isomorphic to the inverse limit of an inverse system of discrete finite groups.
the sporadic simple groups, or the sporadic finite groups.
Burnside's problem is a classical question, which deals with the relationship between periodic groups and finite groups, if we assume only that G is a finitely-generated group. .
Finite groups in the 1870-1900 period saw such highlights as the Sylow theorems,
in particular when implemented for finite groups.
Burnside's theorem has long been one of the best-known applications of representation theory to the theory of finite groups, though a proof avoiding the use of group characters was published by D. Goldschmidt around 1970.
including:* Finite groups* GL("n",
These groups can be seen as the basic building blocks of all finite groups, in a way reminiscent of the way the prime numbers are the basic building blocks of the natural numbers.
He also wrote the books:"The representation theory of finite groups" ISBN 0-444-86155-6 and"Characters of finite groups", which are now standard referenceson character theory,
This group is the inverse limit of the finite groups Gal(" F"/" K"),
opened the way to entirely new techniques in abstract finite groups.
In joint work with George Lusztig, Deligne applied étale cohomology to construct representations of finite groups of Lie type;