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

DOI10.1515/MS-2021-0008OpenAlexW3174669691MaRDI QIDQ2054655

Marius Tărnăuceanu

Publication date: 3 December 2021

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

Full work available at URL: https://arxiv.org/abs/2001.07275

zbMATH Keywords

nilpotent groups\(p\)-groupsrelative element orders

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Nilpotent groups (20F18) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Isolated subgroups of finite abelian groups ⋮ Addendum to ``A generalization of a result on the sum of element orders of a finite group

Cites Work

• Unnamed Item
• Two new criteria for solvability of finite groups
• An exact upper bound for sums of element orders in non-cyclic finite groups
• Detecting structural properties of finite groups by the sum of element orders
• The second maximal groups with respect to the sum of element orders
• Sums of Element Orders in Finite Groups
• A criterion for p-nilpotency and p-closedness by the sum of element orders
• Sums of element orders in groups of order 2m with m odd

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