Non-finite presentability of nonuniform lattices in locally finite polyhedral complexes
Non-finite presentability of nonuniform lattices in locally finite polyhedral complexes
Let be a locally finite polyhedral complex, let , and let be a nonuniform lattice in . Non-finite presentability conjecture. The group is not finitely presentable. The source proposes this as a broad expectation motivated by the non-finite presentability of certain lattices in algebraic groups in positive characteristic; its general validity is open.
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Primary source
Benson Farb, G. Christopher Hruska and Anne Thomas, “Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices”, arXiv:0803.2484 (2008).
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