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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.GR2017
Centralizers in pseudo-finite groups
Nadja Hempel, Daniel Palacin
The role of finite centralizers of involutions in pseudo-finite groups is analyzed. It is shown that a pseudo-finite group admitting a definable involutory automorphism fixing only…
math.GR2016
A note on FC-nilpotency
Nadja Hempel, Daniel Palacin
The notion of bounded FC-nilpotent group is introduced and it is shown that any such group is nilpotent-by-finite, generalizing a result of Neumann on bounded FC-groups.