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Computational complexity and the classification of finite simple groups

24th Annual Symposium on Foundations of Computer Science (sfcs 1983), 1983
We address the graph isomorphism problem and related fundamental complexity problems of computational group theory. The main results are these: A1. A polynomial time algorithm to test simplicity and find composition factors of a given permutation group (COMP). A2.
László Babai   +2 more
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The Classification of the Finite Simple Groups

The Mathematical Intelligencer, 1980
This article on the classification of finite simple groups is directed towards a broad audience. The author poses some natural questions connected with finite groups and in particular with finite simple groups. He explains in a lucid way why these questions have particular answers.
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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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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\
Rapinchuk, Andrei, Potapchik, Alexander
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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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Classification of maximal subgroups of odd index in finite simple classical groups

Proceedings of the Steklov Institute of Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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