A NOTE ON THE FINITELY GENERATED FIXED SUBGROUP PROPERTY
Abstract We investigate when a group of the form $G\times \mathbb {Z}^m\ (m\geq 1)$ has the finitely generated fixed subgroup property of automorphisms ( $\mathrm {FGFP_a}$ ), by using the BNS-invariant, and provide some partial answers and nontrivial examples.
Authors
- Qiang Zhang (ORCID: https://orcid.org/0000-0001-6332-5476)
- Jiming Ma
- J.J. Lei (ORCID: https://orcid.org/0000-0002-2470-8535)
Institutions
- Fudan University (CN)
- Xi'an Jiaotong University (CN)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2024-10-11
- DOI
- https://doi.org/10.1017/s0004972724000868
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 1.01