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Communications in Algebra Volume 43, 2015 - Issue 6
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Original Articles

On Groups with the Second Largest Value of the Sum of Element Orders

Rulin Shen Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, ChinaCorrespondence[email protected]
,
Gang Chen School of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei Province, China
&
Chao Wu School of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei Province, China
Pages 2618-2631 | Received 23 Jul 2013, Published online: 17 Apr 2015

Citations (17)

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Read on this site (4)

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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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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C. Beddani & W. Messirdi. (2018) Sums of prime element orders in finite groups. Journal of Taibah University for Science 12:3, pages 294-298.
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Articles from other publishers (13)

Hiranya Kishore Dey & Archita Mondal. (2024) An exact upper bound for the sum of powers of element orders in non-cyclic finite groups. Journal of Pure and Applied Algebra 228:6, pages 107580.
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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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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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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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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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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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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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М. Герцог, M. Herzog, П. Лонгобарди, P. Longobardi, М. Май & M. Maj. (2020) О сумме порядков элементов конечных группOn the sum of orders of elements in finite groups. Итоги науки и техники. Серия «Современная математика и ее приложения. Тематические обзоры» Itogi Nauki i Tekhniki. Seriya "Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory" 177, pages 74-79.
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Nil MANSUROĞLU. (2020) Some Properties on Sums of Element Orders in Finite p-groups. Mathematical Sciences and Applications E-Notes 8:1, pages 51-54.
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Behrooz Khosravi & Morteza Baniasad Azad. (2019) Recognition by the Product Element Orders. Bulletin of the Malaysian Mathematical Sciences Society 43:2, pages 1183-1193.
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Afsane Bahri, Behrooz Khosravi & Zeinab Akhlaghi. (2019) A result on the sum of element orders of a finite group. Archiv der Mathematik 114:1, pages 3-12.
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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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Marcel Herzog, Patrizia Longobardi & Mercede Maj. 2018. Group Theory and Computation. Group Theory and Computation 59 90 .

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