Decomposition of Steinberg group into involutions (Q1387486)
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scientific article; zbMATH DE number 1159298
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposition of Steinberg group into involutions |
scientific article; zbMATH DE number 1159298 |
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Decomposition of Steinberg group into involutions (English)
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14 December 1998
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The stable Steinberg group \(St\) is the direct limit of the Steinberg groups \(St_n\), it is given by generators and relations. There is an epimorphism \(\varphi\colon St\to E\) (the elementary linear group) with \(\ker\varphi=K_2\). Extending an existing result for the special linear group, the authors show that every element in \(St(F)\), where \(F\) is a field, is a product of four or fewer involutions.
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stable Steinberg groups
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special linear groups
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relations
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products of involutions
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generators
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