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Coclass graphs of p-groups

Research output: Book/ReportBookResearchpeer-review

Abstract

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.

Original languageEnglish
Place of PublicationCham, Switzerland
PublisherSpringer
Number of pages174
Edition1st
ISBN (Electronic)9783032175069
ISBN (Print)9783032175052, 9783032175083
DOIs
Publication statusPublished - 2026

Publication series

NameSpringer Monographs in Mathematics
PublisherSpringer
VolumePart F1483
ISSN (Print)1439-7382
ISSN (Electronic)2196-9922

Keywords

  • Coclass Graphs
  • Coclass Theory
  • Finite Groups
  • Finite p-groups
  • Group Classifications
  • Group Theory
  • Infinite Pro-p Groups

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