33 citations · 53 across the 10 of their papers we have counts for
4 papers · 1 filter
Median quasimorphisms on CAT(0) cube complexes and their cup products
Benjamin Brück, Francesco Fournier-Facio, Clara Loeh
Cup products provide a natural approach to access higher bounded cohomology groups. We extend vanishing results on cup products of Brooks quasimorphisms of free groups to cup produ…
A note on virtual duality and automorphism groups of right-angled Artin groups
Richard D. Wade, Benjamin Brück
A theorem of Brady and Meier states that a right-angled Artin group is a duality group if and only if the flag complex of the defining graph is Cohen--Macaulay. We use this to give…
Higher generating subgroups and Cohen-Macaulay complexes
Benjamin Brück
We show how to find higher generating families of subgroups, in the sense of Abels and Holz, for groups acting on Cohen-Macaulay complexes. We apply this to groups with a BN-pair t…
Maximal hyperbolic towers and weight in the theory of free groups
Benjamin Brück
We show that in general for a given group the structure of a maximal hyperbolic tower over a free group is not canonical: We construct examples of groups having hyperbolic tower st…