Finite subgroups of algebraic groups


Larsen, Michael J. ; Pink, Richard


URL: http://citeseerx.ist.psu.edu/viewdoc/download?doi=...
Additional URL: https://www.researchgate.net/publication/228942353...
Document Type: Working paper
Year of publication: 1998
The title of a journal, publication series: Mannheimer Manuskripte
Volume: 98,4
Place of publication: Mannheim; Heidelberg
Publishing house: Univ.
Related URLs: http://www.math.uni-mannheim.de/~fga/FGArithmetikManuskripte/004-LarsPink.ps.gz
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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Larsen, Michael J. ; Pink, Richard (1998) Finite subgroups of algebraic groups. Mannheimer Manuskripte Mannheim; Heidelberg 98,4 [Working paper]


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