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Coclass graphs are a useful tool to visualise the p-groups of fixed coclass. The Coclass Theorems imply that every coclass graph (p, r) is a union of finitely many maximal coclass trees together with finitely many groups outside. Each coclass tree T is associated with an infinite pro-p-group Ѕ of coclass r.

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Towards Periodicity II

  • 章节

  • 发表日期：

    2026年

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  • Heiko Dietrich,
  • Bettina Eick

摘要

Coclass graphs are a useful tool to visualise the p-groups of fixed coclass. The Coclass Theorems imply that every coclass graph (p, r) is a union of finitely many maximal coclass trees together with finitely many groups outside. Each coclass tree T is associated with an infinite pro-p-group Ѕ of coclass r.