Non-PORC behaviour in groups of order \(p^{7}\)

DOI10.1016/j.jalgebra.2016.07.042zbMath1427.20026OpenAlexW2510136497MaRDI QIDQ1702686

Michael Vaughan-Lee

Publication date: 28 February 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.07.042

zbMATH Keywords

\(p\)-groupPORC

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Varieties over finite and local fields (11G25)

Related Items (2)

Hessian matrices, automorphisms of \(p\)-groups, and torsion points of elliptic curves ⋮ Some unsolvable conjectures in finite \(p\)-groups

Uses Software

• Magma

Cites Work

• Unnamed Item
• A class of descendant \(p\)-groups of order \(p^{9}\) and Higman's PORC conjecture
• The Magma algebra system. I: The user language
• 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 \(p\).
• Enumerating p -Groups. I: Inequalities
• Enumerating p -Groups, II: Problems Whose Solution is PORC
• What is a Reciprocity Law?
• Groups of order $p^8$ and exponent $p$

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