Full box spaces of free groups
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Thiebout Delabie
Abstract
In this paper we investigate full box spaces and coarse equivalences between them. We do this in two parts. In part one we compare the full box spaces of free groups on different numbers of generators. In particular, the full box space of a free group
Award Identifier / Grant number: 200021_163417
Funding statement: Supported by grant 200021_163417 of the Swiss National Science Foundation.
Acknowledgements
The author would like to thank Ana Khukhro and Alain Valette for the many useful comments.
References
[1] A. Khukhro, Box spaces, group extensions and coarse embeddings into Hilbert space, J. Funct. Anal. 263 (2012), no. 1, 115–128. 10.1016/j.jfa.2012.04.004Suche in Google Scholar
[2] A. Khukhro and A. Valette, Expanders and box spaces, preprint (2015), https://arxiv.org/abs/1509.01394. 10.1016/j.aim.2017.05.007Suche in Google Scholar
[3] A. Lubotzky and D. Segal, Subgroup Growth, Progr. Math. 212, Birkhäuser, Basel, 2012. Suche in Google Scholar
© 2018 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
- Sandwich classification for GLn(R), O2n(R) and U2n(R,Λ) revisited
- Critical maximal subgroups and conjugacy of supplements in finite soluble groups
- Finite $\smash{p}$\hbox{-}groups of conjugate type {1,p3}
- Normal subgroups in limit groups of prime index
- Uncountable locally free groups and their group rings
- Full box spaces of free groups
- Almost congruence extension property for subgroups of free groups
- Solving equations of length seven over torsion-free groups
- On the structure of virtually nilpotent compact p-adic analytic groups
Artikel in diesem Heft
- Frontmatter
- Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
- Sandwich classification for GLn(R), O2n(R) and U2n(R,Λ) revisited
- Critical maximal subgroups and conjugacy of supplements in finite soluble groups
- Finite $\smash{p}$\hbox{-}groups of conjugate type {1,p3}
- Normal subgroups in limit groups of prime index
- Uncountable locally free groups and their group rings
- Full box spaces of free groups
- Almost congruence extension property for subgroups of free groups
- Solving equations of length seven over torsion-free groups
- On the structure of virtually nilpotent compact p-adic analytic groups
