The F A-prime subgroup conjecture for Artin groups

A group GG has property FA{\rm F}\mathcal{A}' if every simplicial action of GG on a tree without inversion is locally elliptic. A subgroup is non-trivial if it is not the trivial group. The FA{\rm F}\mathcal{A}'-subgroup conjecture. Artin groups have no non-trivial FA{\rm F}\mathcal{A}'-subgroups. The paper presents this as an open extension of the corresponding known result for right-angled Artin groups.

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Primary source

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

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