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<p>In this work, we investigate pro-<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathcal {C}\)</EquationSource> </InlineEquation> groups acting on locally finite pro-<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\mathcal {C}\)</EquationSource> </InlineEquation> trees, where <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\mathcal {C}\)</EquationSource> </InlineEquation> denotes a class of finite groups closed under taking subgroups, quotients, and extensions. In particular, we focus on a pro-<InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\mathcal {C}\)</EquationSource> </InlineEquation> version of the generalized Baumslag–Solitar group, commonly referred to as a GBS-group.</p>

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Pro-\(\mathcal {C}\) generalized Baumslag–Solitar groups and profinite commensurators

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月27日

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  • Jesus Berdugo,
  • Pavel Zalesskii

摘要

In this work, we investigate pro- \(\mathcal {C}\) groups acting on locally finite pro- \(\mathcal {C}\) trees, where \(\mathcal {C}\) denotes a class of finite groups closed under taking subgroups, quotients, and extensions. In particular, we focus on a pro- \(\mathcal {C}\) version of the generalized Baumslag–Solitar group, commonly referred to as a GBS-group.