A note on the finitely generated fixed subgroup property

Abstract

We study when a group of form $G\times {\mathbb{Z}}^m(m\ge 1)$ has the finitely generated fixed subgroup property of automorphisms (${\mathrm{FGFP}}_{\mathrm{a}}$), by using the BNS-invariant, and provide some partial answers and non-trivial examples.

10 pages