论文标题
SL的宽度(n,o_s,i)
Width of SL(n,O_S,I)
论文作者
论文摘要
我们对一致性子组$ \ mathrm {sl}(n,o_s,i)$在山雀 - vaserstein Generators中的宽度进行估算,其中$ o_s $是数字字段$ k $中整数的本地化。我们假设$ k $具有真实的嵌入,或者理想的$ i $对于$ k $中的团结根数量是主要的。
We give an estimate for the width of the congruence subgroup $\mathrm{SL}(n,O_S,I)$ in Tits--Vaserstein generators, where $O_S$ is a localisation of the ring of integers in a number field $K$. We assume that either $K$ has a real embedding, or the ideal $I$ is prime to the number of roots of unity in $K$.