Finite subgroups of algebraic groups

Larsen, Michael J. ; Pink, Richard

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Document Type: Working paper
Year of publication: 1998
The title of a journal, publication series: Mannheimer Manuskripte zu Risikotheorie, Portfolio Management und Versicherungswirtschaft
Volume: 98,4
Place of publication: Mannheim; Heidelberg
Publishing house: Univ.
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Publication language: English
Institution: School of Business Informatics and Mathematics > Mathematik (aufgelöst)
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Abstract: Generalizing a classical theorem of Jordan to arbitrary characteristic, we prove that every finite subgroup of GLn over a field of any characteristic p possesses a subgroup of bounded index which is composed of finite simple groups of Lie type in characteristic p, a commutative group of order prime to p, and a p-group. While this statement can be deduced from the classification of finite simple groups, our proof is self-contained and uses methods only from algebraic geometry and the theory of linear algebraic groups. We believe that our results can serve as a viable substitute for classification in a range of applications in various areas of mathematics.

Dieser Eintrag ist Teil der Universitätsbibliographie.

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