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Communications in Algebra Volume 27, 1999 - Issue 3
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Original Articles

A character theoretic condition characterizing nilpotent groups

Stephen M. Gagola Jr Department of Mathematics and Computer Science, Kent State University, Kent, OH, 44242, USACorrespondence[email protected]
&
Mark L. Lewis Department of Mathematics and Computer Science, Kent State University, Kent, OH, 44242, USACorrespondence[email protected]
Pages 1053-1056 | Received 01 Jan 1997, Published online: 27 Jun 2007

Citations (17)

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Read on this site (2)

Mahdi Ebrahimi. (2021) Groups in which the co-degrees of the irreducible characters are distinct. Communications in Algebra 49:12, pages 5229-5232.
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Stephen M. Gagola$suffix/text()$suffix/text(). (2005) A Character Theoretic Condition for F(G) > 1. Communications in Algebra 33:5, pages 1369-1382.
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Articles from other publishers (15)

Yu Zeng & Dongfang Yang. (2023) A characterization of finite groups having a single Galois conjugacy class of certain irreducible characters. Journal of Group Theory 0:0.
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SULTAN BOZKURT GÜNGÖR & TEMHA ERKOÇ. (2022) SOME CRITERIA FOR SOLVABILITY AND NILPOTENCY OF FINITE GROUPS BY STRONGLY MONOLITHIC CHARACTERS. Bulletin of the Australian Mathematical Society, pages 1-5.
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Yinling Gao & Yang Liu. (2021) On Codegrees and Solvable Groups. Bulletin of the Iranian Mathematical Society 48:4, pages 1357-1363.
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Heng Lv, Dongfang Yang & Guohua Qian. (2022) A characterization of finite groups in terms of the codegrees of their characters. Journal of Group Theory 25:4, pages 727-740.
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Jiakuan Lu, Kaisun Wu & Wei Meng. (2021) 𝒫-characters and the structure of finite solvable groups. Journal of Group Theory 24:2, pages 285-291.
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Shawn T. Burkett. (2020) An analog of nilpotence arising from supercharacter theory. Journal of Algebra 560, pages 852-878.
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Dongfang Yang, Cong Gao & Heng Lv. (2020) Finite groups with special codegrees. Archiv der Mathematik 115:2, pages 121-130.
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XIAOYOU CHEN & MARK L. LEWIS. (2019) MONOLITHIC BRAUER CHARACTERS. Bulletin of the Australian Mathematical Society 100:3, pages 434-439.
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XIAOYOU CHEN & MARK L. LEWIS. (2019) SQUARES OF DEGREES OF BRAUER CHARACTERS AND MONOMIAL BRAUER CHARACTERS. Bulletin of the Australian Mathematical Society 100:1, pages 58-60.
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Hung P. Tong-Viet. (2018) Brauer characters and normal Sylow p-subgroups. Journal of Algebra 503, pages 265-276.
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Xiaoyou Chen, James P. Cossey, Mark L. Lewis & Hung P. Tong-Viet. (2017) Blocks of small defect in alternating groups and squares of Brauer character degrees. Journal of Group Theory 20:6, pages 1155-1173.
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Jiakuan Lu. (2016) On a theorem of Gagola and Lewis. Journal of Algebra and Its Applications 16:08, pages 1750158.
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Jiakuan Lu, Xueqing Qin & Xuexia Liu. (2016) Generalizing a theorem of Gagola and Lewis characterizing nilpotent groups. Archiv der Mathematik 108:4, pages 337-339.
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Dengfeng Liang & Guohua Qian. (2016) Finite groups with coprime character degrees and codegrees. Journal of Group Theory 19:5, pages 763-776.
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Guohua Qian. (2011) A character theoretic criterion for a p-closed group. Israel Journal of Mathematics 190:1, pages 401-412.
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