Finite presentability conjecture for symplectic mapping class groups of right-angled Artin groups
Finite presentability conjecture for symplectic mapping class groups of right-angled Artin groups
Let be a graph, let be its right-angled Artin group, and let be a symplectic structure on . Write for the subgroup of automorphisms preserving this structure. Finite presentability conjecture. For every graph with a symplectic structure on , the group is finitely presented.
Theorem-level finite generation is known, and finite presentability holds in the classical mapping class group case; extending the available combinatorial methods to all such groups remains open.
Sources & referencesView supporting material
Primary source
Matthew B. Day, “Symplectic structures on right-angled Artin groups: between the mapping class group and the symplectic group”, arXiv:0807.4801 (2008).
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