The minimum sum of element orders of finite groups

DOI10.22108/ijgt.2019.115910.1538zbMath1491.20062OpenAlexW2970192999MaRDI QIDQ5854505

Fasaghandisi Bahram Vakili, Maghsoud Jahani, Hasan Refaghat, Yadollah Marefat

Publication date: 17 March 2021

Full work available at URL: https://doaj.org/article/19b5456f7c7f421bbe72de56a6ce9eb8

zbMATH Keywords

finite groupsolvable groupsimple groupelement orders sum

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05)

Related Items (1)

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Uses Software

• Magma

Cites Work

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• Maximum sum element orders of all proper subgroups of \(PGL(2,q)\).
• 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
• Sum of the element orders in groups of the square-free orders
• ON THE SUM OF ELEMENT ORDERS OF FINITE SIMPLE GROUPS
• Sum of Element Orders of Maximal Subgroups of the Symmetric Group
• SUM OF ELEMENT ORDERS ON FINITE GROUPS OF THE SAME ORDER
• Sums of Element Orders in Finite Groups
• ON THE SUM OF ELEMENT ORDERS OF FINITE ABELIAN GROUPS
• Sums of element orders in groups of order 2m with m odd
• Characterization of $p$-groups by sum of the element orders

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