$n$-Stabilizing Bisets

  •  Alex Monnard    


One generalises the notion of stabilizing bisets from Bouc and Th\'{e}venaz (2012) to $n$-stabilizing bisets. This allows us to find new examples of stabilization for Roquette groups. We first investigate the idea of $n$-stabilizing bisets. We give a way to construct examples with the notion of idempotent bisets and $n$-expansive subgroups. Finally, for example, we look at Roquette groups and classify their $n$-stabilizing bisets.

This work is licensed under a Creative Commons Attribution 4.0 License.