$n$-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.

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DOI: http://dx.doi.org/10.5539/jmr.v6n3p123

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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