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math.GR2024
Asymptotic invariants of residually finite just infinite groups
Andrei Jaikin-Zapirain, Steffen Kionke
Recently, Eduard Schesler and the second author constructed examples of finitely generated residually finite, hereditarily just infinite groups with positive first -Betti numb…
math.GR2024
Profiniteness of higher rank volume
Holger Kammeyer, Steffen Kionke, Ralf Köhl
We show that the covolume of an irreducible lattice in a higher rank semisimple Lie group with the congruence subgroup property is determined by the profinite completion. Without r…
math.GR2024
Hereditarily just-infinite torsion groups with positive first -Betti number
Steffen Kionke, Eduard Schesler
We present a new method to construct finitely generated, residually finite, infinite torsion groups. In contrast to known constructions, a profinite perspective enables us to contr…