Analysis reveals finiteness properties in automorphisms of groups, indicating the role of centers and quotients.
We use Sigma-invariants to study homotopical and homological finiteness properties of fixed subgroups of automorphisms of a group G in terms of its center $Z(G)$ and the induced automorphisms on its associated quotient $G/Z(G)$. Specializing to the case where the center is a direct factor of the group, we answer a question made by Lei, Ma and Zhang.
No takes yet. Share an insight, caveat, or question.
Almeida et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: