Solvability of the radical in pseudo-finite groups with the DCC on centralizers up to finite index

Published 5 May 2026 in math.GR and math.LO | (2605.03735v1)

Abstract: 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, there is no finitely generated pseudo-finite group whose definable sections satisfy such a chain condition on centralizers.

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