论文标题

可访问组的详尽完成

The profinite completion of accessible groups

论文作者

de Bessa, Vagner R., Porto, Anderson L. P., Zalesskii, Pavel A.

论文摘要

We introduce a class $\A$ of finitely generated residually finite accessible groups with some natural restriction on one-ended vertex groups in their JSJ-decompositions.我们证明,在$ \ a $中的小组的完成几乎几乎可以检测到其JSJ分解,并计算了$ \ a $的群体免费产品属。

We introduce a class $\A$ of finitely generated residually finite accessible groups with some natural restriction on one-ended vertex groups in their JSJ-decompositions. We prove that the profinite completion of groups in $\A$ almost detects its JSJ-decomposition and compute the genus of free products of groups in $\A$.

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