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arXiv · 2603.17084

On the model theory of the Free Factor Complex of rank 2

Zahra Mohammadi Khangheshlaghi·Katrin Tent
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Abstract

We begin the investigation of the free factor complex of a free group of finite rank. For the case of rank 2 we axiomatize its theory and show that it is $\omega$-stable with prime model $AF_2$.

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Zahra Mohammadi Khangheshlaghi, Katrin Tent. 2026-03-17. On the model theory of the Free Factor Complex of rank 2. https://arxiv.org/abs/2603.17084

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