Groups of order $p^8$ and exponent $p$

DOI10.22108/ijgt.2015.5758zbMath1456.20016OpenAlexW2765189631MaRDI QIDQ5853469

Michael Vaughan-Lee

Publication date: 10 March 2021

Full work available at URL: http://ijgt.ui.ac.ir/article_5758_388335a7f7fa07bfe83e3a007db2f69c.pdf

zbMATH Keywords

\(p\)-groupsPORCenumeratio

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (7)

The enumeration of groups of order \(p^{n}q\) for \(n\leq 5\) ⋮ A class of descendant \(p\)-groups of order \(p^{9}\) and Higman's PORC conjecture ⋮ Phase retrieval for nilpotent groups ⋮ Non-PORC behaviour in groups of order \(p^{7}\) ⋮ Group-theoretic generalisations of vertex and edge connectivities ⋮ Zeta functions enumerating normal subgroups of \(\mathfrak{T}_2\)-groups and their behavior on residue classes ⋮ Some unsolvable conjectures in finite \(p\)-groups

Uses Software

• GAP
• Magma
• LiePRing

Cites Work

• Unnamed Item
• The groups of order 256
• The Magma algebra system. I: The user language
• The \(p\)-group generation algorithm
• Groups and nilpotent Lie rings whose order is the sixth power of a prime.
• Non-PORC behaviour of a class of descendant \(p\)-groups.
• The groups with order \(p^7\) for odd prime \(p\).
• The groups of order at most 2000
• Enumerating p -Groups. I: Inequalities
• Higman's PORC conjecture for a family of groups
• Enumerating p -Groups, II: Problems Whose Solution is PORC
• Finite Metabelian Groups and the Lines of a Projective Four-Space

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