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Valentina Grazian, Carmine Monetta & Marialaura Noce. (2024) On the structure of finite groups determined by the arithmetic and geometric means of element orders. Communications in Algebra 52:7, pages 2715-2723.
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Marcel Herzog, Patrizia Longobardi & Mercede Maj. (2021) On a criterion for solvability of a finite group. Communications in Algebra 49:5, pages 2234-2240.
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Marius Tărnăuceanu. (2021) A criterion for nilpotency of a finite group by the sum of element orders. Communications in Algebra 49:4, pages 1571-1577.
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Morteza Baniasad Azad & Behrooz Khosravi. (2020) A criterion for p-nilpotency and p-closedness by the sum of element orders. Communications in Algebra 48:12, pages 5391-5395.
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Marcel Herzog, Patrizia Longobardi & Mercede Maj. (2019) Sums of element orders in groups of order 2m with m odd. Communications in Algebra 47:5, pages 2035-2048.
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Rulin Shen, Gang Chen & Chao Wu. (2015) On Groups with the Second Largest Value of the Sum of Element Orders. Communications in Algebra 43:6, pages 2618-2631.
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S.M. Jafarian Amiri & Mohsen Amiri. (2014) Sum of the Products of the Orders of Two Distinct Elements in Finite Groups. Communications in Algebra 42:12, pages 5319-5328.
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Majid Jafarian Amiri. (2013) Second Maximum Sum of Element Orders of Finite Nilpotent Groups. Communications in Algebra 41:6, pages 2055-2059.
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H. Amiri & S.M. Jafarian Amiri. (2012) Sum of Element Orders of Maximal Subgroups of the Symmetric Group. Communications in Algebra 40:2, pages 770-778.
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Articles from other publishers (41)
Mohsen Amiri. (2024) On a bijection between a finite group and cyclic group. Journal of Pure and Applied Algebra 228:7, pages 107632.
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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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M. Herzog, P. Longobardi & M. Maj. (2023) On the Sum of Orders of Elements in Finite Groups. Journal of Mathematical Sciences 275:6, pages 722-727.
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Elena Di Domenico, Carmine Monetta & Marialaura Noce. (2023) Upper bounds for the product of element orders of finite groups. Journal of Algebraic Combinatorics 57:4, pages 1033-1043.
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Marius Tărnăuceanu. (2023) On the number of edges of cyclic subgroup graphs of finite groups. Archiv der Mathematik 120:4, pages 349-353.
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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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Marcel Herzog, Patrizia Longobardi & Mercede Maj. (2022) Another criterion for solvability of finite groups. Journal of Algebra 597, pages 1-23.
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Morteza Baniasad Azad, Behrooz Khosravi & Morteza Jafarpour. (2020) An answer to a conjecture on the sum of element orders. Journal of Algebra and Its Applications 21:04.
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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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Marcel Herzog, Patrizia Longobardi & Mercede Maj. (2021) Sums of element orders in groups of odd order. International Journal of Algebra and Computation 31:06, pages 1049-1063.
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Marius Tărnăuceanu. (2021) A generalization of a result on the sum of element orders of a finite group. Mathematica Slovaca 71:3, pages 627-630.
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Marcel Herzog, Patrizia Longobardi & Mercede Maj. (2021) The second maximal groups with respect to the sum of element orders. Journal of Pure and Applied Algebra 225:3, pages 106531.
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Nil MANSUROĞLU. (2020) Products Of Element Orders In Finite GroupsSonlu Grupların Eleman Mertebelerinin Çarpımı. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 13:3, pages 1112-1115.
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Marius Tărnăuceanu. (2020) Detecting structural properties of finite groups by the sum of element orders. Israel Journal of Mathematics 238:2, pages 629-637.
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M. Tărnăuceanu. (2018) A nilpotency criterion for finite groups. Acta Mathematica Hungarica 155:2, pages 499-501.
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Marcel Herzog, Patrizia Longobardi & Mercede Maj. (2018) An exact upper bound for sums of element orders in non-cyclic finite groups. Journal of Pure and Applied Algebra 222:7, pages 1628-1642.
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