2 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
On n-dependent groups and fields III. Multilinear forms and invariant connected components
Artem Chernikov, Nadja Hempel
We develop some model theory of multi-linear forms, generalizing Granger in the bi-linear case. In particular, after proving a quantifier elimination result, we show that for an NI…