Small systems of generators of isotropic unitary groups over finite fields of characteristic not two (Q1076807)
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scientific article; zbMATH DE number 3955227
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Small systems of generators of isotropic unitary groups over finite fields of characteristic not two |
scientific article; zbMATH DE number 3955227 |
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Small systems of generators of isotropic unitary groups over finite fields of characteristic not two (English)
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1985
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Let K be a finite field of characteristic not two and V a finite- dimensional vector space over K endowed with a sesquilinear form f. Assume the Witt index of f is at least 1. The author shows that the unitary group U(V) and the orthogonal group O(V) are generated by three elements, the symplectic group Sp(V) is generated by two elements.
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finite-dimensional vector space
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sesquilinear form
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Witt index
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unitary group
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orthogonal group
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symplectic group
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