CORDIS Project
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This research explores the relationship between logic and algebra by studying groups defined in specific mathematical structures. It aims to deepen understanding of group theory through the lens of model theory, focusing on properties of groups in stable and pseudofinite contexts.
The proposed research links logic (model theory) and algebra (group theory).
It explores groups which are first-order definable in structures that satisfy certain model-theoretic restrictions.
The structures, here called `tame’, are stable, simple, NIP, or NTP2, concepts from Shelah's `generalised stability theory'. WP 1 concerns groups definable in tame fields, possibly equipped with extra operators.
The aim is to show that a definable group in such fields must be closely related to the rationa…
UNIVERSITY OF LEEDS
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