3 papers
math.GR2025
Infinite groups from the profinite point of view
Holger Kammeyer, Steffen Kionke
We survey recent work ranging around the question in how far a group, or a property of a group, is determined by the set of finite quotient groups. Our focus lies on -arithmetic…
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…