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In Chapter 1, we established that the maximal coclass trees in (p,r) correspond one-to-one to the isomorphism types of infinite pro-p-groups of coclass r, see Proposition 1.24. The aim of this chapter is to initiate the investigation of the structure of these infinite pro-p-groups.

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Matrix groups and uniseriality

  • 章节

  • 发表日期：

    2026年

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  • Heiko Dietrich,
  • Bettina Eick

摘要

In Chapter 1, we established that the maximal coclass trees in (p,r) correspond one-to-one to the isomorphism types of infinite pro-p-groups of coclass r, see Proposition 1.24. The aim of this chapter is to initiate the investigation of the structure of these infinite pro-p-groups.