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Addendum to ``A generalization of a result on the sum of element orders of a finite group

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Publication:2685555
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DOI10.1515/MS-2023-0007OpenAlexW4321116804MaRDI QIDQ2685555

Marius Tărnăuceanu, Mihai-Silviu Lazorec

Publication date: 22 February 2023

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.06599


zbMATH Keywords

Frobenius groupssolvable groupsrelative element orders


Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Solvable groups, supersolvable groups (20F16)





Cites Work

  • Finite \(p\)-groups with some isolated subgroups
  • An exact upper bound for sums of element orders in non-cyclic finite groups
  • A criterion for solvability of a finite group by the sum of element orders
  • A generalization of a result on the sum of element orders of a finite group
  • Sums of Element Orders in Finite Groups
  • On two conjectures about the sum of element orders
  • Isolated subgroups of finite abelian groups
  • A criterion for nilpotency of a finite group by the sum of element orders




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