One-relator groups and the Haagerup property

14.01.2020 15:00 - 17:00

Giles Gardam (Münster)

It is open whether every group admitting a presentation wih a single relator has the Haagerup property (a.k.a. Gromov's a-T-menability). I will outline the theory of one-relator groups relevant to the Haagerup property, including both why establishing this property is easy in certain cases and some joint work with Dawid Kielak demonstrating the difficulty of the problem in general. We conclude with some cause for optimism.


G. Arzhantseva, Ch. Cashen


SR 7, 2. OG., OMP 1