The CSP conjecture for lattices in the simple Lie group F4(−20)F_{4(-20)}

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Let F4(−20)F_{4(-20)} be the simple real Lie group of the indicated type, and let Γ\Gamma be a lattice in F4(−20)F_{4(-20)}. CSP conjecture for F4(−20)F_{4(-20)}. Every lattice Γ\Gamma in the simple Lie group F4(−20)F_{4(-20)} has the congruence subgroup property (CSP). This conjecture is used for one of the paper's negative results; the supplied context does not state whether it has been resolved.

References

Primary source

Holger Kammeyer, “On absolutely profinitely solitary lattices in higher rank Lie groups”, arXiv:2202.05597 (2022).

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