论文标题
限制组的直接产物的亚组在drom raag上
Subgroups of direct products of limit groups over Droms RAAGs
论文作者
论文摘要
Bridson，Howie，Miller和Short的结果指出，如果$ s $是$ fp_ {n}类型的子组（\ Mathbb {q}）$的$ n $限制组的直接乘积组比免费组的直接产品，那么$ s $实际上是限制组的直接产品。此外，它们表征有限的剩余组。在本文中，这些结果被推广到限制右角Artin组的群体上。 Droms Raags是其所有有限生成的亚组的财产的右角型群体。此外，我们表明，可以解决一般性呈现的群体，这些群体可以解决，这些组在Droms上是Droms Raag，并且它们有限呈现的亚组是可分离的。
A result of Bridson, Howie, Miller and Short states that if $S$ is a subgroup of type $FP_{n}(\mathbb{Q})$ of the direct product of $n$ limit groups over free groups, then $S$ is virtually the direct product of limit groups over free groups. Furthermore, they characterise finitely presented residually free groups. In this paper these results are generalised to limit groups over Droms right-angled Artin groups. Droms RAAGs are the right-angled Artin groups with the property that all of their finitely generated subgroups are again RAAGs. In addition, we show that the generalised conjugacy problem is solvable for finitely presented groups that are residually a Droms RAAG and that their finitely presentable subgroups are separable.
