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Normal subgroups ofSL 1,D and the classification of finite simple groups

Proceedings of the Indian Academy of Sciences - Section A, 1996
Let \(G\) be a simple simply connected algebraic group over an algebraic number field \(K\) and \(T\) the (finite) set of all nonarchimedean places \(v\) of \(K\) such that \(G\) is \(K_v\)-anisotropic. Define \(G(K,T)\) to be \(\prod_{v\in T}G(K_v)\) with the product topology if \(T\neq\emptyset\), and \(G(K,T)=\{e\}\) if \(T=\emptyset\). Let \(\delta\
Andrei S. Rapinchuk, Alexander Potapchik
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The Classification of the Finite Simple Groups, Number 10

, 2023
Inna Capdeboscq, Daniel Gorenstein, Richard Lyons, Ronald Solomon   +3 more
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The Classification of the Finite Simple Groups, Number 6

, 2004
Daniel Gorenstein, Richard Lyons, Ronald Solomon   +2 more
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The Classification of the Finite Simple Groups, Number 7

, 2018
Daniel Gorenstein, Richard Lyons, Ronald Solomon   +2 more
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Brauer's conjectures and the classification of finite simple groups

, 1986
Gerhard O. Michler
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The Classification of Finite Simple Groups

1983
My aim in this lecture will be to try to convince you that the classification of the finite simple groups is nearing its end. This is, of course, a presumptuous statement, since one does not normally announce theorems as "almost proved". But the classification of simple groups is unlike any other single theorem in the history of mathematics, since the ...
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FINITE GROUPS, SIMPLE GROUPS, AND THE CLASSIFICATION OF FINITE SIMPLE GROUPS WITH APPLICATIONS IN CRYPTOGRAPHY AND CODING THEORY

Abstract Finite groups and simple groups are fundamental structures in algebra that play critical roles in various fields, including cryptography and coding theory. The classification of finite simple groups is one of the most significant achievements in modern mathematics, providing a comprehensive list of building blocks for all finite groups.
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A NEW CLASSIFICATION OF FINITE SIMPLE GROUPS

The Mathematical Foundation of Informatics, 2005
WUJIE SHI, SEYMOUR LIPSCHUTZ
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Some Ideas in the Classification of the Finite Simple Groups

2004
Everything we report about is joint work with U. Meierfrankenfeld and B. Stellmacher. The key idea for the existing classification of the finite simple groups is due R. Brauer [Br],[BrFo]. He suggested to classify the finite simple groups by the centralizers of their involutions.
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Symmetric graphs and the classification of the finite simple groups

1984
Some applications of the finite simple group classification to the study of symmetric graphs are discussed.
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