Failure of the finitely generated intersection property for ascending HNN extensions of free groups

Autor: Bamberger, Jacob, Wise, Daniel T.
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: The main result in this paper is the failure of the finitely generated intersection property (FGIP) of ascending HNN extensions of non-cyclic finite rank free groups. This class of group consists of free-by-cyclic groups and properly ascending HNN extensions of free groups. We also give a sufficient condition for the failure of the FGIP in the context of relative hyperbolicity, we apply this to free-by-cyclic groups of exponential growth.
Databáze: arXiv