Examples of using Simple groups in English and their translations into Greek
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Classification of finite simple groups.
The simple groups of small 2-rank include.
Classification of finite simple groups cyclic.
This section lists some results that have been proved using the classification of finite simple groups.
Classification of simple groups of characteristic 2 type.
It is part of the classification of finite simple groups.
The classification of finite simple groups is a vast body of work from the mid 20th century,classifying all the finite simple groups.
You worked on the classification of finite simple groups.
The classification of finite simple groups is a vast body of work from the mid 20th century,which is thought to classify all the finite simple groups.
He was a major influence on the classification of finite simple groups.
As a consequence, the complete classification of finite simple groups was achieved,meaning that all those simple groups from which all finite groups can be built are now known.
Finite groups 6.1 Classification of finite simple groups.
The simple groups of small 2-rank include:Groups of 2-rank 0, in other words groups of odd order, which are all solvable by the Feit- Thompson theorem.
It thus plays a major role in the classification of finite simple groups.
Daniel Gorenstein announced in 1983 that the finite simple groups had all been classified, but this was premature as he had been misinformed about the proof of the classification of quasithin groups. .
They have had a deep impact on the classification of finite simple groups.
Finite simple groups of section 2 rank at least 5 have Sylow 2-subgroups with a self-centralizing normal subgroup of rank at least 3, which implies that they have to be of either component type or of characteristic 2 type.
He contributed substantially to the classification of finite simple groups.
The simple groups of low 2-rank are mostly groups of Lie type of small rank over fields of odd characteristic, together with five alternating and seven characteristic 2 type and nine sporadic groups. .
This was an essential stage in the evolving classification of finite simple groups.
In 1972 he began his participation in the classification program for finite simple groups, after hearing a lecture by Daniel Gorenstein.
The classification of quasithin groups is a crucial part of the classification of finite simple groups.
In mathematics, the Alperin- Brauer- Gorenstein theorem characterizes the finite simple groups with quasidihedral or wreathed[1] Sylow 2-subgroups.
In 1973, Aschbacher became a leading figure in the classification of finite simple groups.
Lyons received his PhD in 1970 at the University of Chicago under John Griggs Thompson with a thesis entitled Characterizations of Some Finite Simple Groups with Small 2-Rank.[2] Since 1972 he has been a professor at Rutgers University.
These groups play an important role in the classification of finite simple groups.
He was a leading figure in the completion of the classification of finite simple groups in the 1970s and 1980s.
Lastly the development of buildings played a crucial role in the classification of the finite simple groups.
Therefore the Gorenstein- Harada theorem splits the problem of classifying finite simple groups into these two subcases.
Gorenstein was awarded many honors for his work on finite simple groups.