Geometric Group Theory, Algorithmic Problems on Groups

1. Wenhao Wang, “Dehn functions of finitely presented metabelian groups”, In this paper, we compute an upper bound for the Dehn function of a finitely presented metabelian group. In addition, we prove that the same upper bound works for the relative Dehn function of a finitely generated metabelian group. We also show that every wreath product of a free abelian group of finite rank with a finitely generated abelian group can be embedded into a metabelian group with exponential Dehn function., Journal of Group Theory, 24:5 (2021), 899-957
2. Wenhao Wang, “Orders on free metabelian groups”, Journal of Group Theory, 2023

• Steklov International Mathematical Center
• Steklov Mathematical Institute of Russian Academy of Sciences, Moscow