Abstract

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.

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