English

Finiteness properties of algebraic fibers of group extensions

Group Theory 2024-04-03 v1 Geometric Topology

Abstract

This survey describes some recent work, by the authors and others, on the existence of algebraic fibrations of group extensions, as well as the finiteness properties of their algebraic fibers, in the realm of both abstract and pro-pp groups. We also discuss some applications of these results to (higher) coherence.

Keywords

Cite

@article{arxiv.2404.01447,
  title  = {Finiteness properties of algebraic fibers of group extensions},
  author = {Dessislava H. Kochloukova and Stefano Vidussi},
  journal= {arXiv preprint arXiv:2404.01447},
  year   = {2024}
}

Comments

With an Appendix by Marco Boggi. Submitted to the Proceedings of the AMS Special Session on Singer-Hopf Conjecture in Geometry and Topology, edited by: Luca F. Di Cerbo and Laurentiu G. Maxim