We study when a group of form G has the finitely generated fixed subgroup property of automorphisms (FGFPₐ), and provide some partial answers and non-trivial examples.

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Lei et al. (Tue,) studied this question.

synapsesocial.com/papers/68e69359b6db643587619de1 https://doi.org/https://doi.org/10.48550/arxiv.2405.12824

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1On the finiteness properties of fixed subgroups of automorphisms2025
2Restricted-finite groups with some applications in group rings2024
3Infinitely presented simple groups separated by homological finiteness properties2025
4Eventually fixed points of endomorphisms of virtually free groups2024 · 1 citations
5A simple construction of finitely generated infinite torsion groups2024 · 1 citations