论文标题
在同型组的同源稳定性范围内
On the Homology stability range for symplectic groups
论文作者
论文摘要
我们以2倍的比例提高了2个已知同源性稳定性范围，对于具有无限残基领域的交换性局部环的整体同源性范围，并表明，Milnor-Witt K理论的障碍在下面是进一步稳定性的限制。在许多情况下，尤其是我们的稳定范围是最佳的。
We improve, by a factor of 2, known homology stability ranges for the integral homology of symplectic groups over commutative local rings with infinite residue field and show that the obstruction to further stability is bounded below by Milnor-Witt K-theory. In particular our stability range is optimal in many cases.
