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Communications in Algebra Volume 45, 2017 - Issue 2
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Original Articles

Inequalities detecting structural properties of a finite group

Martino GaronziDipartimento di Matematica Pura ed Applicata, Padova, ItalyCorrespondence[email protected]
&
Massimiliano PatassiniDipartimento di Matematica Pura ed Applicata, Padova, Italy
Pages 677-687 | Received 24 Sep 2015, Published online: 20 Oct 2016

Citations (17)

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Read on this site (5)

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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Hamed Shafiei, Behrooz Khosravi & Morteza Baniasad Azad. (2024) On the product of element orders of some finite groups. Communications in Algebra 52:6, pages 2519-2526.
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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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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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Seyed Farid Mousavi, Alireza Gilani, Mehdi Alaeiyan & Maryam Golriz. (2020) A characterization by the product element orders for some groups. Journal of Information and Optimization Sciences 41:4, pages 1133-1139.
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Articles from other publishers (12)

Hamed Shafiei, Behrooz Khosravi & Morteza Baniasad Azad. (2023) The characterization of some cyclic groups by the product of element orders. Journal of Algebra and Its Applications 23:05.
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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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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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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. (2020) PROPERTIES OF FINITE GROUPS DETERMINED BY THE PRODUCT OF THEIR ELEMENT ORDERS. Bulletin of the Australian Mathematical Society 103:1, pages 88-95.
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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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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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Francesco G. Russo. (2019) A Short Survey and Open Questions on Compact Q-Groups. Axioms 8:4, pages 128.
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Martino Garonzi & Igor Lima. (2018) On the Number of Cyclic Subgroups of a Finite Group. Bulletin of the Brazilian Mathematical Society, New Series 49:3, pages 515-530.
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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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Marcel Herzog, Patrizia Longobardi & Mercede Maj. 2018. Group Theory and Computation. Group Theory and Computation 59 90 .

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