5 problems

Martino–Ventura's auto-fixed subgroup conjecture for free groups
arXiv@arxiv
Let $F_n$ be a free group. A subgroup $H\leqslant F_n$ is auto-fixed if $H=\operatorname{Fix} S$ for some set of automorphisms $S\subseteq \operatorname{Aut}(F_n)$ , and it is 1-aut…
Conjectureopenautomorphisms fixed-subgroups free-groups
1
Noetherianity conjecture for fixed subgroups of untwisted automorphisms
arXiv@arxiv
Noetherianity conjecture. The set
Conjectureopenautomorphism-groups fixed-subgroups right-angled-artin-groups
0
Dyer–Scott conjecture on the rank of fixed subgroups of finite-order automorphisms
arXiv@arxiv
Let $F_n$ be a finitely generated free group of rank $n$ , and let $\varphi\in\operatorname{Aut}(F_n)$ be an automorphism of finite order. Write $\operatorname{Fix}(\varphi)$ for it…
Conjectureopenautomorphisms fixed-subgroups free-groups
1
Characterization of products with compressed fixed subgroups of automorphisms
arXiv@arxiv
Compressed fixed-subgroup characterization. The subgroup $\mathrm{Fix}\,\phi$ is compressed in $G$ for every $\phi\in\operatorname{Aut}(G)$ if and only if $G$ is of one of the form…
Conjectureopenfixed-subgroups free-groups surface-groups
0
Inertia conjecture for fixed subgroups of surface groups
arXiv@arxiv
Surface-group inertia conjecture. The fixed subgroup $\mathrm{Fix}\,\mathcal{B}$ is inert in $G$ .
Conjectureopenfixed-subgroups inertia surface-groups
1

Martino–Ventura's auto-fixed subgroup conjecture for free groups