Connectivity of partial basis complexes of freely decomposable groups
Abstract We show that the complex of partial bases of the free group of rank , where vertices are seen up to conjugation, is Cohen–Macaulay of dimension . This confirms a conjecture by Day and Putman. We prove our results in the more general context of freely decomposable groups.
Authors
- Kevin Iván Piterman (ORCID: https://orcid.org/0000-0002-9024-5698)
- Benjamin Brück (ORCID: https://orcid.org/0000-0001-9606-3783)
Institutions
- Vrije Universiteit Brussel (BE)
- University of Münster (DE)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-09-24
- DOI
- https://doi.org/10.1112/blms.70197
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00