11 citations · 12 across the 5 of their papers we have counts for
10 papers
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…
On n-dependent groups and fields III. Multilinear forms and invariant connected components
Artem Chernikov, Nadja Hempel
We develop some model theory of multilinear forms, generalizing Granger's work in the bilinear case. In particular, after proving a quantifier elimination result, we show that for…
On n-dependent groups and fields II
Artem Chernikov, Nadja Hempel
We continue the study of -dependent groups, fields and related structures, largely motivated by the conjecture that every -dependent field is dependent. We provide evidence t…
Mekler's construction and generalized stability
Artem Chernikov, Nadja Hempel
Mekler's construction gives an interpretation of any structure in a finite relational language in a group (nilpotent of class and exponent , but not finitely generated in…
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…
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.
Division Rings with Ranks
Nadja Hempel, Daniel Palacín
Any superrosy division ring (i.e. a division ring equipped with an abstract notion of rank) is shown to be centrally finite. Furthermore, division rings satisfying a generalized ch…
Groups in NTP2
Nadja Hempel, Alf Onshuus
We prove the existence of abelian, solvable and nilpotent definable envelopes for groups definable in models of an NTP2 theory.
Almost group theory
Nadja Hempel
The notion of almost centralizer and almost commutator are introduced and basic properties are established. They are used to study -groups, i. e.groups…
On n-dependent groups and fields
Nadja Hempel
First, an example of a 2-dependent group without a minimal subgroup of bounded index is given. Second, all infinite n-dependent fields are shown to be Artin-Schreier closed. Furthe…