An answer to a conjecture on the sum of element orders

DOI10.1142/S0219498822500670OpenAlexW3107836606WikidataQ123012814 ScholiaQ123012814MaRDI QIDQ5065656

Behrooz Khosravi, Morteza Baniasad Azad, Morteza Jafarpour

Publication date: 22 March 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822500670

zbMATH Keywords

sum of element orders

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

On the sum of the inverses of the element orders in finite groups

Cites Work

• On the order of transitive permutation groups with cyclic point-stabilizer
• Two new criteria for solvability of finite groups
• 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 density result on the sum of element orders of a finite group
• Detecting structural properties of finite groups by the sum of element orders
• The second maximal groups with respect to the sum of element orders
• A result on the sum of element orders of a finite group
• Recognition by the product element orders
• Sum of the element orders in groups of the square-free orders
• SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER
• 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
• A criterion for nilpotency of a finite group by the sum of element orders

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