Rigidity, internality and analysability
Daniel Palacin (ICJ), Frank Olaf Wagner (ICJ)
TL;DR
This paper extends Hrushovski's socle lemma to rigid groups within arbitrary simple theories, providing new insights into their structural properties.
Contribution
It introduces a generalized version of the socle lemma applicable to rigid groups in simple theories, broadening previous results.
Findings
Proves a version of Hrushovski's socle lemma for rigid groups
Applicable to arbitrary simple theories
Enhances understanding of group internality and analysability
Abstract
We prove a version of Hrushovski's socle lemma for rigid groups in an arbitrary simple theory.
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