The F C-prime subgroup conjecture for Artin groups

A group GG has property FC{\rm F}\mathcal{C}' if every cellular action of GG on a finite-dimensional CAT(0)(0) cube complex is locally elliptic. A subgroup is non-trivial if it is not the trivial group. The FC{\rm F}\mathcal{C}'-subgroup conjecture. Artin groups have no non-trivial FC{\rm F}\mathcal{C}'-subgroups. The paper notes that this is known for right-angled Artin groups, while the assertion for general Artin groups remains open.

Sources & referencesView supporting material

Primary source

Philip Möller, Luis Paris and Olga Varghese, “On parabolic subgroups of Artin groups”, arXiv:2201.13044 (2022).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.