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math.GR2026
Property for non-orientable big Mapping Class Groups
Jesús Hernández Hernández, Tianyi Lou
We give a criterion for property for subgroups of orientable big mapping class groups and apply it to mapping class groups of non-orientable infinite type surfac…
math.GR2026
Balanced groups and the virtually cyclic dimension of poly-surfaces groups
Jesús Hernández Hernández, Porfirio Leandro León Álvarez
In this paper we obtain explicit linear upper bounds for the virtually cyclic dimension of normally poly-surface and normally poly-free groups. Our approach is based on a structura…