Virtually Free-by-Cyclic Groups

• Published in: Geometric and functional analysis Vol. 34; no. 5; pp. 1580 - 1608
• Main Authors: Kielak, Dawid, Linton, Marco
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.10.2024; Springer Nature B.V
• Subjects: Analysis; Mathematics; Mathematics and Statistics
• ISSN: 1016-443X; 1420-8970
• DOI: 10.1007/s00039-024-00687-6

We obtain a homological characterisation of virtually free-by-cyclic groups among groups that are hyperbolic and virtually compact special. As a consequence, we show that many groups known to be coherent actually possess the stronger property of being virtually free-by-cyclic. In particular, we show...