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