English

A note on the finitely generated fixed subgroup property

Group Theory 2025-05-14 v3 Geometric Topology

Abstract

We study when a group of form G×Zm(m1)G\times\mathbb{Z}^m (m\geq 1) has the finitely generated fixed subgroup property of automorphisms (FGFPa\rm{FGFP}_a), by using the BNS-invariant, and provide some partial answers and non-trivial examples.

Keywords

Cite

@article{arxiv.2405.12824,
  title  = {A note on the finitely generated fixed subgroup property},
  author = {Jialin Lei and Jiming Ma and Qiang Zhang},
  journal= {arXiv preprint arXiv:2405.12824},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-06-28T16:34:22.288Z