Results 271 to 280 of about 188,766 (316)

Groups of Lie Type

2002
In this and the following three chapters we pause to stockpile relevant data about the known simple groups.
Christopher Parker, Peter Rowley
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STRUCTURE AND PRESENTATIONS OF LIE-TYPE GROUPS

Proceedings of the London Mathematical Society, 2000
The purpose of this work is a generalization of the class of Chevalley groups and twisted Chevalley groups in such a way that finite-dimensional classical groups over division rings, simple algebraic groups and groups of mixed type (in the terminology of \textit{J. Tits} [``Buildings of spherical type and finite BN-pairs'', Lect. Notes Math.
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The homotopy types of compact lie groups

Israel Journal of Mathematics, 1985
A homotopy theoretic and homological proof is given to a theorem of H. Scheerer: If two compact simply connected Lie groups are homotopy equivalent they are isomorphic. Both the original and the present proofs make use of the known list of the simple Lie groups. These are distinguishable by their mod 2 cohomology.
Hubbuck, J. R., Kane, R. M.
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Finite simple unisingular groups of Lie type

Journal of Group Theory, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guralnick, Robert M., Pham Huu Tiep
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Finite Groups of Lie Type

1994
One of the most remarkable results of this century in mathematics has been the classification — completed in 1980 — of all the finite simple groups. This took over 20 years and occupies almost 5000 pages in the literature, and it is conceivable that there are some errors there, so the details of classification are not really available to us, but the ...
Alejandro Adem, R. James Milgram
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Integral Group Rings of Finite Groups of Lie Type

Bulletin of the London Mathematical Society, 1999
The isomorphism problem for integral group rings, which is the question whether for two groups \(G\) and \(H\), \(\mathbb{Z} G\cong\mathbb{Z} H\) implies \(G\cong H\), is studied for certain finite groups of Lie type. Namely, if \(\mathbb{G}\) is a simply connected simple algebraic group over an algebraically closed field \(k\) of positive ...
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Serial Group Rings of Finite Simple Groups of Lie Type

Journal of Mathematical Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kukharev, A. V., Puninski, G. E.
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The Homotopy Type of Lie Semigroups in Semi-Simple Lie Groups

Monatshefte f�r Mathematik, 2002
Let \(G\) be a semisimple Lie group with finite center and \(S\subseteq G\) a subsemigroup with non-empty interior. The authors show that if \(S\) is generated by one-parameter semigroups, then there exists a compact subgroup of \(G\) whose homotopy groups are precisely the homotopy groups of \(S\).
San Martin, Luiz A. B., Santana, Alexandre J.   +1 more
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Finite Groups of Lie Type

1985
The finite groups of Lie type are of basic importance in the theory of groups. the author's intention here is to make theories of finite groups of Lie type, particularly the complex represenation theory which has been development since the fundamental breakthrough made by Deligne and Lusztig in 1976, accessible to a wider circle of mathematicians.
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Modules for Groups of Lie Type

2002
The main purpose of this chapter is to gather module results for Lie type groups in both their defining characteristic and in cross characteristic. So in Section 14.1 we itemize some of the key theorems in the representation theory of Lie type groups in their defining characteristic.
Christopher Parker, Peter Rowley
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