# Sh:818

- Kramer, L., Shelah, S., Tent, K., & Thomas, S. (2005).
*Asymptotic cones of finitely presented groups*. Adv. Math.,**193**(1), 142–173. arXiv: math/0306420 DOI: 10.1016/j.aim.2004.04.012 MR: 2132762 -
Abstract:

Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that {\mathbb R}\text{-rank}(S) \geq 2 and let \Gamma be a uniform lattice in G.(a) If CH holds, then \Gamma has a unique asymptotic cone up to homeomorphism.

(b) If CH fails, then \Gamma has 2^{2^{\omega}} asymptotic cones up to homeomorphism.

- published version (32p)

Bib entry

@article{Sh:818, author = {Kramer, Linus and Shelah, Saharon and Tent, Katrin and Thomas, Simon}, title = {{Asymptotic cones of finitely presented groups}}, journal = {Adv. Math.}, fjournal = {Advances in Mathematics}, volume = {193}, number = {1}, year = {2005}, pages = {142--173}, issn = {0001-8708}, mrnumber = {2132762}, mrclass = {20F65 (54D80)}, doi = {10.1016/j.aim.2004.04.012}, note = {\href{https://arxiv.org/abs/math/0306420}{arXiv: math/0306420}}, arxiv_number = {math/0306420} }