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Herbert Abels and Roger C. Alperin
A splitting theorem for linear polycyclic groups
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| Published: |
May 28, 2009 |
| Keywords: |
Polycyclic group, arithmetic group, linear group |
| Subject: |
20H20, 20G20 |
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Abstract
We prove that an arbitrary polycyclic by finite
subgroup of GL(n,\overline{Q}) is
up to conjugation virtually contained in a direct product of a triangular
arithmetic group and a finitely generated diagonal group.
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| Acknowledgements
The authors gratefully acknowledge the hospitality received at the Mathematics Department of the University of Chicago during the inception of this work.
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| Author information
Herbert Abels:
Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, GERMANY
abels@mathematik.uni-bielefeld.de
Roger C. Alperin:
Department of Mathematics, San Jose State University, San Jose, CA 95192, USA
alperin@math.sjsu.edu
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