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arXiv · 2305.00830

On quasi-Frobenius pairs of finite Morley rank

Tuna Altinel·Luis Jaime Corredor·Adrien Deloro
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Abstract

We clarify quasi-Frobenius configurations of finite Morley rank. 1. We remove one assumption in an identification theorem by Zamour while simplifying the proof. 2. We show that a strongly embedded quasi-Frobenius configuration of odd type, is actually Frobenius. 3. For dihedral configurations, one has $\dim G = 3 \dim C$. These results rely on an interesting phenomenon of closure of non-generic matter under taking centralisers.

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Tuna Altinel, Luis Jaime Corredor, Adrien Deloro. 2023-05-01. On quasi-Frobenius pairs of finite Morley rank. https://arxiv.org/abs/2305.00830

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