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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.16039 |
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| _version_ | 1866908719855435776 |
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| author | Almeida, Kisnney Mendonça, Luis |
| author_facet | Almeida, Kisnney Mendonça, Luis |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16039 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the finiteness properties of fixed subgroups of automorphisms Almeida, Kisnney Mendonça, Luis Group Theory 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. |
| title | On the finiteness properties of fixed subgroups of automorphisms |
| topic | Group Theory |
| url | https://arxiv.org/abs/2512.16039 |