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Decomposition of the Steinberg group over local rings into involutions. (English) Zbl 0951.20037

It is shown that every element in the stable Steinberg group of a local ring is a product of at most five involutions.

MSC:

20H25 Other matrix groups over rings
19C20 Symbols, presentations and stability of \(K_2\)
15A23 Factorization of matrices
20F05 Generators, relations, and presentations of groups
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References:

[1] DOI: 10.1016/0024-3795(76)90054-9 · Zbl 0325.15009 · doi:10.1016/0024-3795(76)90054-9
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[3] DOI: 10.1016/0021-8693(88)90055-5 · Zbl 0649.20048 · doi:10.1016/0021-8693(88)90055-5
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[9] DOI: 10.1016/0024-3795(93)90294-X · Zbl 0773.15005 · doi:10.1016/0024-3795(93)90294-X
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