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The central idea in our geometric approach is to parametrise subgroups H of G using generating tuples \({\mathbf {h}}\in H^n\) , allowing the use of tools from geometric invariant theory. The point is that orbits of tuples in \(H^n\) give us a way to describe conjugacy classes of subgroups of H.

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The Geometric Approach

  • 章节

  • 发表日期：

    2026年

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  • Michael Bate,
  • Benjamin Martin,
  • Gerhard Röhrle

摘要

The central idea in our geometric approach is to parametrise subgroups H of G using generating tuples \({\mathbf {h}}\in H^n\) , allowing the use of tools from geometric invariant theory. The point is that orbits of tuples in \(H^n\) give us a way to describe conjugacy classes of subgroups of H.