Coclass graphs of p-groups /

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 discu ssing open conjectures.

Bibliographic Details
Main Authors:	Dietrich, Heiko (Author), Eick, Bettina (Author)
Format:	eBook
Language:	English
Published:	Cham : Springer, [2026]
Series:	Springer monographs in mathematics.
Subjects:	Finite groups. Set theory. Groupes finis. Théorie des ensembles. Electronic books.

Table of Contents:

1 Introduction to coclass graphs
2 Constructive methods and visualisations
3 Number theory and group constructions
4 Matrix groups and uniseriality
5 Cohomology theory and extensions
6 The number of infinite paths in G (p,r)
7 Periodicity I
8 The skeletons of a coclass tree
9 Groups of maximal class
10 Towards Periodicity II
References
Index
List of Symbols.