Generation of special linear groups by transvections (Q1072653)
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scientific article; zbMATH DE number 3941798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generation of special linear groups by transvections |
scientific article; zbMATH DE number 3941798 |
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Generation of special linear groups by transvections (English)
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1986
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The group of all transvections is a generating set for the special linear group SL(n,K). The author assumes that the field K is finite. Then he shows that SL(n,K) is already generated by a suitably chosen set of n transvections. He goes on classifying all sets of n transvections generating SL(n,K). Clearly, a set of transvections containing fewer than n elements will not generate SL(n,K).
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transvections
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generating set
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special linear group
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0.9361321
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0.9179311
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0.9089888
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0.9071125
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0.9004873
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0.89598715
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0.8921686
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