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math.GR2026
Uncountably many local isomorphism types of compactly generated simple groups
Ilaria Castellano, Jorge Fariña-Asategui, Mikel Eguzki Garciarena +7
A major open question in the theory of locally compact groups is the following. Let be the class of non-discrete compactly generated totally disconnected locally comp…
math.GR2026
Generalisable presentations and compactness properties of locally compact right-angled Artin groups
Ilaria Castellano, Bianca Marchionna, Brita Nucinkis +1
We propose the systematic study of presentations that can be generalised over a continuous open group monomorphism. Presentations with this property can turn well-known presentatio…