arXiv Open Access 2015

Quantifying separability in virtually special groups

Mark F. Hagen Priyam Patel

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Abstrak

We give a new, effective proof of the separability of cubically convex-cocompact subgroups of special groups. As a consequence, we show that if $G$ is a virtually compact special hyperbolic group, and $Q\leq G$ is a $K$-quasiconvex subgroup, then any $g\in G-Q$ of word-length at most $n$ is separated from $Q$ by a subgroup whose index is polynomial in $n$ and exponential in $K$. This generalizes a result of Bou-Rabee and the authors on residual finiteness growth and a result of the second author on surface groups.

Topik & Kata Kunci

math.GR math.GT

Penulis (2)

Mark F. Hagen

Priyam Patel

Format Sitasi

APA MLA BibTeX

Hagen, M.F., Patel, P. (2015). Quantifying separability in virtually special groups. https://arxiv.org/abs/1501.07001

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Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓