Groups with many roots

DOI10.22108/IJGT.2020.119870.1582zbMath1443.20035OpenAlexW3083534216MaRDI QIDQ5124363

Sarah B. Hart, Daniel McVeagh

Publication date: 18 September 2020

Full work available at URL: https://doaj.org/article/c972364105f34f408fe2051a9d498c0e

zbMATH Keywords

square rootscube roots\(p^{\text{th}}\) roots

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Uses Software

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Cites Work

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• Groups of prime power order. Vol. 1.
• On the number of solutions of \(x^{p^ k}=a\) in a p-group
• The number of solutions of \(x^3=1\) in a 3-group
• The Magma algebra system. I: The user language
• Note on a paper of Berkovich
• On the Number of Solutions of the Equation x p k = a in a Finite p-Group
• The number of solutions of x_p = 1 in a finite group
• Endliche Gruppen I

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