The sequence of non k-th powers of a finite group G

DOI10.1080/00927872.2018.1523421zbMath1468.20050OpenAlexW2913671170MaRDI QIDQ5231183

Sara Jensen, William Cocke

Publication date: 26 August 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1523421

zbMATH Keywords

finite groupnilpotentfinite abelian groupnot \(k\)-th powers

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) Torsion-free groups, infinite rank (20K20)

Related Items (1)

Determining Frobenius complements from sequences of \(k\)th powers

Cites Work

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• On the number of elements that are not \(k\)th powers in a group.
• Profinite groups with many commuting pairs or involutions
• On a conjecture of Frobenius
• On the number of elements which are not n-th powers in finite groups
• Probability that an element of a finite group has a square root

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