3 papers
math.GR2026
Solvability of the radical in pseudo-finite groups with the DCC on centralizers up to finite index
Nadja Hempel, Ulla Karhumäki
The subgroup generated by all solvable normal subgroups in a pseudo-finite group with the descending chain condition on centralizers up to finite index is solvable. Additionally, t…
math.LO2025
Primitive pseudo-finite permutation groups of finite SU-rank
Ulla Karhumäki, Nicholas Ramsey
We study definably primitive pseudo-finite permutation groups of finite -rank. We show that if is such a permutation group, then the rank of can be bounded in terms…
math.GR2024
Finite-dimensional pseudofinite groups of small dimension, without CFSG
Ulla Karhumäki, Frank Olaf Wagner
Any simple pseudofinite group G is known to be isomorphic to a (twisted) Chevalley group over a pseudofinite field. This celebrated result mostly follows from the work of Wilson in…