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Classical groups and generalized simple groups of Lie type
Part of:
Other groups of matrices
Published online by Cambridge University Press: 09 April 2009
Abstract
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In this note, for any given simple group obtained from an orthogonal or unitary group of non-zero index, by a procedure similar to the construction of Chevalley groups and twisted groups, we construct a simple group which is identified with the given simple classical group. The simple groups constructed in this note can be interpreted as generalized simple groups of Lie type. Thus all simple groups of Lie type of types An, Bn, Cn and Dn and all generalized simple groups of Lie type constructed in this note exhaust all simple classical groups with non-zero indices.
MSC classification
Secondary:
20H20: Other matrix groups over fields
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1989
References
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