论文标题
在(交叉的)伯爵组的伯恩赛德环上
On the (crossed) Burnside ring of profinite groups
论文作者
论文摘要
在本文中,我们研究了\ cite {ds}中定义的涂鸦基团的伯侧环的某些属性。我们介绍了涂鸦FC组的交叉伯侧环的概念,并将有限的一些结果概括为有限的(FC-)组。在我们的研究中,我们还获得了可能具有独立利益的涂鸦FC组的结果。
In this paper we investigate some properties of the Burnside ring of a profinite group as defined in \cite{ds}. We introduce the notion of the crossed Burnside ring of a profinite FC-group, and generalise some results from finite to profinite (FC-)groups. In our investigations, we also obtain results on profinite FC-groups which may be of independent interest.