论文标题
是否有一个无限磁场的乘法组是不可分解的？
Is there an infinite field whose multiplicative group is indecomposable?
论文作者
论文摘要
在较早的论文中，我们确定了具有不可分解的乘法基团的有限场，并猜想没有无限磁场的乘法组是不可分解的。在本文中，我们证明了这一猜想的几个流行的字段类别，包括有限生成的字段，离散的有价值字段，Hahn系列的字段，本地字段，全局字段和功能字段。
In an earlier paper, we determined the finite fields with indecomposable multiplicative groups and conjectured that there is no infinite field whose multiplicative group is indecomposable. In this paper, we prove this conjecture for several popular classes of fields, including finitely generated fields, discrete valued fields, fields of Hahn series, local fields, global fields, and function fields.
