Normal right-angled Artin subgroup classification conjecture

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.

Sources & referencesView supporting material

Primary source

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

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