Periodic patterns in the graph of p-groups of maximal class

DOI10.1515/JGT.2010.028zbMath1218.20011OpenAlexW2073174662MaRDI QIDQ3068139

Heiko Dietrich

Publication date: 13 January 2011

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2010.028

zbMATH Keywords

finite \(p\)-groupscoclass theorycoclass graphscoclass treesgroups of maximal class

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (6)

Galois trees in the graph of \(p\)-groups of maximal class ⋮ The distribution of second \(p\)-class groups on coclass graphs ⋮ The origins of coclass theory ⋮ Orbit isomorphic skeleton groups ⋮ Finite \(p\)-groups of maximal class with `large' automorphism groups ⋮ ON THE CLASSIFICATION OF GROUPS OF PRIME-POWER ORDER BY COCLASS: THE 3-GROUPS OF COCLASS 2

Uses Software

• AClib

Cites Work

• On a special class of \(p\)-groups
• Construction of finite groups
• The exact lower bound for the degree of commutativity of a \(p\)-group of maximal class
• Über \(p\)-Gruppen von maximaler Klasse
• ON THE CLASSIFICATION OF p-GROUPS OF MAXIMAL CLASS
• On the classification of prime-power groups by coclass
• ON p-GROUPS OF MAXIMAL CLASS I
• ON p-GROUPS OF MAXIMAL CLASS II
• ON p-GROUPS OF MAXIMAL CLASS III
• Counting \(p\)-groups and nilpotent groups

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