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Communications in Algebra Volume 38, 2010 - Issue 12
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Original Articles

Non-Nilpotent Graph of a Group

Alireza Abdollahi Department of Mathematics, University of Isfahan, Isfahan, IranCorrespondence[email protected]
&
Mohammad Zarrin Department of Mathematics, University of Isfahan, Isfahan, Iran
Pages 4390-4403 | Received 19 Feb 2009, Published online: 20 Jan 2011

Citations (19)

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Read on this site (3)

Radosław Żak. (2023) A few remarks on the theory of non-nilpotent graphs. Communications in Algebra 51:11, pages 4604-4613.
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Ashish Kumar Das & Deiborlang Nongsiang. (2015) On the Genus of the Nilpotent Graphs of Finite Groups. Communications in Algebra 43:12, pages 5282-5290.
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Mohammad Zarrin. (2012) Ensuring a Group is Weakly Nilpotent. Communications in Algebra 40:12, pages 4739-4752.
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Articles from other publishers (16)

S. Madhumitha & Sudev Naduvath. (2023) Graphs on groups in terms of the order of elements: A review. Discrete Mathematics, Algorithms and Applications 16:03.
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S. Madhumitha & Sudev Naduvath. (2023) Graphs Defined on Rings: A Review. Mathematics 11:17, pages 3643.
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Hassan Khosravi. (2021) Finite groups with a nilpotency condition. Journal of Algebra and Its Applications 22:03.
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Timothy C. Burness, Andrea Lucchini & Daniele Nemmi. (2023) On the soluble graph of a finite group. Journal of Combinatorial Theory, Series A 194, pages 105708.
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Eloisa Detomi, Andrea Lucchini & Daniele Nemmi. (2023) The Engel graph of a finite group. Forum Mathematicum 35:1, pages 111-122.
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Viachaslau I. Murashka. (2021) N-critical graph of finite groups. Asian-European Journal of Mathematics 15:09.
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Gabriela Diaz-Porto, Ismael Gutierrez & Armando Torres-Grandisson. (2022) The t-Graphs over Finitely Generated Groups and the Minkowski Metric. Mathematics 10:17, pages 3030.
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Viachaslau I. Murashka & Alexander F. Vasil’ev. (2022) On the 𝜎-nilpotent hypercenter of finite groups. Journal of Group Theory 0:0.
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Parthajit Bhowal, Deiborlang Nongsiang & Rajat Kanti Nath. (2022) Non-Solvable Graphs of Groups. Bulletin of the Malaysian Mathematical Sciences Society 45:3, pages 1255-1272.
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Andrea Lucchini & Daniele Nemmi. (2021) The non‐F graph of a finite group. Mathematische Nachrichten 294:10, pages 1912-1921.
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Parthajit BHOWAL, Deiborlang NONGSİANG & Rajat NATH. (2020) Solvable graphs of finite groups. Hacettepe Journal of Mathematics and Statistics 49:6, pages 1955-1964.
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S. M. JAFARIAN AMIRI, H. MADADI & H. ROSTAMI. (2015) ON THE PROBABILITY OF GENERATING NILPOTENT SUBGROUPS IN A FINITE GROUP. Bulletin of the Australian Mathematical Society 93:3, pages 447-453.
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E. Jespers & M. H. Shahzamanian. (2014) Finite semigroups that are minimal for not being Malcev nilpotent. Journal of Algebra and Its Applications 13:08, pages 1450063.
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E. JESPERS & M. H. SHAHZAMANIAN. (2013) A DESCRIPTION OF A CLASS OF FINITE SEMIGROUPS THAT ARE NEAR TO BEING MAL'CEV NILPOTENT. Journal of Algebra and Its Applications 12:05, pages 1250221.
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MOHAMMAD ZARRIN. (2012) ON GROUPS WITH A FINITE NUMBER OF NORMALISERS. Bulletin of the Australian Mathematical Society 86:3, pages 416-423.
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E. Jespers & M. H. Shahzamanian. (2012) The non-nilpotent graph of a semigroup. Semigroup Forum 85:1, pages 37-57.
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