7 citations · 7 across the 2 of their papers we have counts for
2 papers
math.GT2024
Connectivity of partial basis complexes of freely decomposable groups
Benjamin Brück, Kevin Ivan Piterman
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 positively answers a…
math.GR2018★ 7 cited
Homotopy type of the complex of free factors of a free group
Benjamin Brück, Radhika Gupta
We show that the complex of free factors of a free group of rank n > 1 is homotopy equivalent to a wedge of spheres of dimension n-2. We also prove that for n > 1, the complement o…