论文标题

关于Steinberg模块的广义Bykovskii演示

On the generalized Bykovskii presentation of Steinberg modules

论文作者

Kupers, Alexander, Miller, Jeremy, Patzt, Peter, Wilson, Jennifer C. H.

论文摘要

我们研究了特殊线性环(Steinberg模块)的虚拟二元模块的演示。 Bykovskii对整数的Steinberg模块进行了演讲,我们的主要结果是将这种演示文稿概括为高斯整数和Eisenstein Integers。我们还表明,这种概括没有给出几个欧几里得号环的Steinberg模块的介绍。

We study presentations of the virtual dualizing modules of special linear groups of number rings, the Steinberg modules. Bykovskii gave a presentation for the Steinberg modules of the integers, and our main result is a generalization of this presentation to the Gaussian integers and the Eisenstein integers. We also show that this generalization does not give a presentation for the Steinberg modules of several Euclidean number rings.

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