Coclass graphs of p-groups
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Beschreibung
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.
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.
Provides a comprehensive introduction to coclass theory Gives an overview of the major results with a focus on coclass graphs and periodic patterns Presents the main open conjectures and provides background needed to begin research in the area
Autor*in
Heiko Dietrich
Themen in »Coclass graphs of p-groups«
Group Theory Finite Groups Finite p-groups Infinite Pro-p Groups Coclass Theory Coclass Graphs Group Classifications