论文标题

财产FA不是属性的财产

Property FA is not a profinite property

论文作者

Cheetham-West, Tamunonye, Lubotzky, Alexander, Reid, Alan W., Spitler, Ryan

论文摘要

我们展示了许多非同构有限呈现的,有限的剩余组$δ$和$γ$,$δ$具有财产FA,$γ$在树上具有非平凡动作,$δ$和$γ$具有同构合成的完整。

We exhibit infinitely many pairs of non-isomorphic finitely presented, residually finite groups $Δ$ and $Γ$ with $Δ$ having Property FA, $Γ$ having a non-trivial action on a tree and $Δ$ and $Γ$ having isomorphic profinite completions.

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