体上特殊线性群的平延换位子生成

The generators as commutators of transvections in the special linear group over shewfields

以SLn（K）表示体K上的n维特殊线性群，n≥2。在除n＝2且|K|≤3的情形下，证明了SLn（K）可由平延（做成的）换位子生成。进而，在SL（k）中，当|K|＞3时，证明了与相似的矩阵至多是两个平延换位子之积的结论。

Let K be a skewfield, the auther proves that every element in SLn(K) is a product of some commutators of transvections for all n≥2, except n=2 and |K|≤3. He also show that the conjugate matrix of (x∈K) is a product of at most two commtators of transvections.