Normal right-angled Artin subgroup classification conjecture

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Let SgS_g be a closed orientable surface and let NN be a normal subgroup of Mod⁡(Sg)\operatorname{Mod}(S_g) that is isomorphic to a right-angled Artin group. Normal right-angled Artin subgroup classification conjecture. The group NN is isomorphic to a free product of groups from the list

F∞,∗∞(F∞×F∞),∗∞(F∞×F∞×Z).F_\infty,\qquad \mathop{\ast}_\infty(F_\infty\times F_\infty),\qquad \mathop{\ast}_\infty(F_\infty\times F_\infty\times\mathbb Z).

The source presents this as an open classification conjecture, based on the displayed constructions of such normal subgroups.

References

Primary source

Dan Margalit, “Problems, Questions, and Conjectures about Mapping Class Groups”, arXiv:1806.08773 (2018).

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