论文标题
具有立方DEHN功能的组的扭转亚组
Torsion Subgroups of Groups with Cubic Dehn Function
论文作者
论文摘要
我们构建具有有限生成的无限扭转亚组的有限呈现组的有限呈现组的第一个示例。此外，我们表明，任何具有足够大的奇数指数的无限自由燃烧组都可以嵌入具有Cubic Dehn函数的有限呈现组的亚组。
We construct the first examples of finitely presented groups with cubic Dehn function containing a finitely generated infinite torsion subgroup. Moreover, we show that any infinite free Burnside group with sufficiently large odd exponent can be embedded as a subgroup of a finitely presented group with cubic Dehn function.
