Algebraic fibrations of certain hyperbolic 4-manifolds

Jiming Ma, Fangting Zheng*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


An algebraically fibering group is an algebraic generalization of the fibered 3-manifold group in higher dimensions. Let M(P) and M(E) be the cusped and compact hyperbolic real moment-angled manifolds associated with the hyperbolic right-angled 24-cell P and the hyperbolic right-angled 120-cell E, respectively. Jankiewicz, Norin, and Wise recently showed that π1(M(P)) and π1(M(E)) are algebraically fibered. In other words, there are two exact sequences 1→HP→π1(M(P))→ϕPZ→1, 1→HE→π1(M(E))→ϕEZ→1, where HP and HE are finitely generated. In this paper, we further show that the fiber-kernel groups HP and HE are not FP2. In particular, they are finitely generated, but not finitely presented.

Original languageEnglish
Article number107592
JournalTopology and its Applications
Publication statusPublished - 1 Mar 2021


  • Algebraic fibered
  • Finitely generated
  • Finitely presented
  • Hyperbolic 4-manifolds


Dive into the research topics of 'Algebraic fibrations of certain hyperbolic 4-manifolds'. Together they form a unique fingerprint.

Cite this