TL;DR
This paper investigates expansive subgroups within Roquette groups, demonstrating their non-existence with trivial G-core in various examples, which impacts the understanding of stabilizing bisets.
Contribution
It proves the non-existence of certain expansive subgroups in specific Roquette groups, advancing the theory of stabilizing bisets.
Findings
No expansive subgroups with trivial G-core in studied Roquette groups
Results support the importance of expansive subgroups in biset theory
Enhances understanding of subgroup structure in Roquette groups
Abstract
One looks at expansive subgroups in particular examples of Roquette groups. This study is motivated by the importance of expansive subgroups in the theory of stabilizing bisets highlighted in [BouThe]. In this paper we prove the non-existence of expansive subgroups with trivial G-core in different examples of Roquette groups G.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Differential Equations and Dynamical Systems · Mathematical Dynamics and Fractals