Примери за използване на Simple groups на Английски и техните преводи на Български
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Classification of finite simple groups.
The classification of finite simple groups involved contributions by a host of mathematicians world wide.
He also studied infinite series of finite simple groups.
The finite simple groups are therefore the building blocks from which finite groups are built.
M Suzuki in 1960 discovered new infinite families of finite simple groups.
The nonabelian finite simple groups fall into a small number of infinite series and 26 sporadic groups. .
These results are the first substantial results achieved concerning simple groups.
He searched for finite simple groups and in an 1892 paper he showed that all simple groups up to order 200 are already known.
Chevalley groups play a central role in the classification of finite simple groups.
Surely they were missing some geometric interpretation of the simple groups that would lead to a substantially shorter classification proof.
Leech is, however, best known for the Leech lattice which gives rise to three sporadic simple groups.
I like to say that I would like to see the solution of the problem of the finite simple groups and the part I expect Thompson's work to play in it.
Every finite group can be viewed as built from a finite collection of finite simple groups.
It is for the classification of finite simple groups that his name will always be remembered, certainly the mathematical achievement of the 20th century.
Brauer was to spend the rest of his life working on the problem of classifying the finite simple groups.
Brauer had announced these results andhis programme for classifying finite simple groups at the International Congress of Mathematicians in Amsterdam in 1954.
Claude Chevalley showed in 1955 that the Lie groups have finite analogues which are finite simple groups.
His involvement in the classification of finite simple groups began in the year 1960-61 when he attended the Group Theory Year at the University of Chicago.
Thompson, working with Walter Feit,proved in 1963 that all nonabelian finite simple groups were of even order.
The Schreier conjecture,that the outer automorphism groups of finite simple groups are soluble, was shown to be true as a consequence of the classification of finite simple groups. .
Leech died almost exactly one month after Gorenstein who had overseen the classification of finite simple groups.
This he used to obtain results on finite groups, particularly finite simple groups, and the theory of blocks would play a big part in much of Brauer's later work.
Here, the authors proved a famous conjecture,to the effect that all non-cyclic finite simple groups have even order.
Then in 1967 Higman became interested in the sporadic finite simple groups being discovered at this time and played an important role in constructing certain of these groups from a knowledge of their character tables.
These groups play an important role in the classification of finite simple groups coordinated by Daniel Gorenstein.
I[EFR] cannot vouch for this change in confidence since I did not hear Conway lecture before his discovery of new simple groups.
In it he determined the minimal simple finite groups, this is to say, the simple groups whose proper subgroups are solvable.
The reason was that suddenly progress began to be made on one of the main problems of finite group theory,namely the classification of finite simple groups.
He is working successfully in several areas of the theory of finite groups- automorphism towers,topological group completions, finite simple groups, algorithmic properties, growth functions.
Conway in England, and Fischer in Germany, each discovering three new sporadic groups, stimulated considerable additional interest,leading to an intensification of the search for further simple groups.