| Orders of Classical Groups over Finite Rings |
| Received:October 13, 1995 |
| Key Words:
Finite ring Nilpotent radical Classifical group Free module.
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| Fund Project:Supported by the National Natural Science Foundation of China and the Natural Science Foundation of Liaoning Province |
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| Abstract: |
| It is observed that a classical group over a finite ring R with identity can be reduced to that over finite fields after the procedures of taking “modulo the radical”, “direct sum” and “tensor products”. Basing on that fact, we calculate the orders of classical groups over R and the number of k-dimensional free submodules of an n-dimensional free module over R . |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1998.04.005 |
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