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Communications in Algebra Volume 49, 2021 - Issue 4
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Research Article

A criterion for nilpotency of a finite group by the sum of element orders

Marius TărnăuceanuMarius Tărnăuceanu Faculty of Mathematics, “Al.I. Cuza” University, Iaşi, RomaniaCorrespondence[email protected]
Pages 1571-1577 | Received 27 Sep 2020, Accepted 19 Oct 2020, Published online: 17 Dec 2020

Citations (7)

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Morteza Baniasad Azad, Behrooz Khosravi & Hamideh Rashidi. (2023) On the sum of the inverses of the element orders in finite groups. Communications in Algebra 51:2, pages 694-698.
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Articles from other publishers (6)

Marcel Herzog, Patrizia Longobardi & Mercede Maj. (2023) On groups with average element orders equal to the average order of the alternating group of degree \(5\). Glasnik Matematicki 58:2, pages 307-315.
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Mihai-Silviu Lazorec. (2023) Subgroups with a small sum of element orders. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117:4.
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Mihai-Silviu Lazorec & Marius Tărnăuceanu. (2023) On the average order of a finite group. Journal of Pure and Applied Algebra 227:4, pages 107276.
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Mihai-Silviu Lazorec & Marius Tărnăuceanu. (2023) Addendum to “A generalization of a result on the sum of element orders of a finite group”. Mathematica Slovaca 73:1, pages 65-68.
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Marius Tărnăuceanu. (2022) Another criterion for supersolvability of finite groups. Journal of Algebra 604, pages 682-693.
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Morteza Baniasad Azad & Behrooz Khosravi. (2021) On two conjectures about the sum of element orders. Canadian Mathematical Bulletin 65:1, pages 30-38.
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