Examples of using Simple groups in English and their translations into Danish
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He published papers on the Higman-Sims simple group(named after D G Higman
Simultaneously with this burgeoning research effort, finite simple group theory was establishing a well-deserved reputation for inaccessibility because of the inordinate lengths of the papers pouring out.
It gives an algebraic characterisation of groups with soluble word problem connecting this property with embeddability in a simple group.
But it was Aschbacher's entry into the field in the early 1970s that irrevocably altered the simple group landscape.
My first foray into simple group theory dated from the famous 1960-61 group theory year at the University of Chicago,
Higman's famous example of a finitely generated infinite simple group.
John Thompson when they proved that every finite simple group has even order.
M Suzuki in 1960 discovered new infinite families of finite simple groups.
particularly finite simple groups, and the theory of blocks would play a big part in much of Brauer's later work.
to the effect that all non-cyclic finite simple groups have even order.
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.
In 1955 he produced two important papers on finite simple groups, proving that the only coincidences in orders of the known(in 1955) finite simple groups were those given by Dickson in his Linear groups. .
The classification of finite simple groups involved contributions by a host of mathematicians world wide.
Then in 1967 Higman became interested in the sporadic finite simple groups being discovered at this time
namely the classification of finite simple groups and the solution of the extension problem,
Claude Chevalley showed in 1955 that the Lie groups have finite analogues which are finite simple groups. M Suzuki in 1960 discovered new infinite families of finite simple groups.
he found the complete list of simple groups with orders between 200 and 600.
See the biography of Gorenstein for further details on the programme to classify finite simple groups.
Most important was Brauer's vital step in setting the direction for the whole classification programme in the paper On groups of even order where it is shown that there are only finitely many finite simple groups containing an involution whose centraliser is a given finite group.
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. Quite generally I would like to see to what further heights Thompson's future work will take him.