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arXiv · 2605.03735

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

Nadja Hempel·Ulla Karhumäki
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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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Nadja Hempel, Ulla Karhumäki. 2026-05-05. Solvability of the radical in pseudo-finite groups with the DCC on centralizers up to finite index. https://arxiv.org/abs/2605.03735

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