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<p class="MsoNormal"><span style="font-size: 11.0pt; mso-fareast-language: EN-US;">Coclass is a powerful invariant that reveals patterns in the intricate landscape of finite <em>p</em>-groups. This monograph offers a gentle introduction to coclass theory, presenting key developments from the past two decades within a unified framework and </span><span lang="EN-US" style="font-size: 11.0pt; mso-ansi-language: EN-US; mso-fareast-language: EN-US;">discu</span><span style="font-size: 11.0pt; mso-fareast-language: EN-US;">ssing open conjectures. Alongside a systematic exposition of established results, the book presents new findings and some corrections to the literature. Special emphasis is </span><span lang="EN-US" style="font-size: 11.0pt; mso-ansi-language: EN-US; mso-fareast-language: EN-US;">placed on</span><span style="font-size: 11.0pt; mso-fareast-language: EN-US;"> coclass graphs and their remarkable periodic structures. Intended for readers with a graduate-level background in group theory and algebra, the book is accessible to newcomers, including graduate students, while also serving as a reliable reference for researchers.</span></p>

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Coclass graphs of p-groups

  • 书籍

  • 发表日期：

    2026年

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  • Heiko Dietrich,
  • Bettina Eick

摘要

Coclass is a powerful invariant that reveals patterns in the intricate landscape of finite p-groups. This monograph offers a gentle introduction to coclass theory, presenting key developments from the past two decades within a unified framework and discussing open conjectures. Alongside a systematic exposition of established results, the book presents new findings and some corrections to the literature. Special emphasis is placed on coclass graphs and their remarkable periodic structures. Intended for readers with a graduate-level background in group theory and algebra, the book is accessible to newcomers, including graduate students, while also serving as a reliable reference for researchers.