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Communications in Algebra Volume 34, 2006 - Issue 8
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Original Articles

Degree Graphs of Simple Linear and Unitary Groups

Donald L. White Department of Mathematical Sciences, Kent State University, Kent, Ohio, USACorrespondence[email protected]
Pages 2907-2921 | Received 31 Mar 2005, Published online: 02 Feb 2007

Citations (26)

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Read on this site (4)

Mahdi Ebrahimi. (2022) n-Exact character graphs. Communications in Algebra 50:7, pages 3149-3155.
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Mahdi Ebrahimi, Maryam Khatami & Zohreh Mirzaei. (2021) Planar character-graphs. Communications in Algebra 49:9, pages 4079-4087.
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Mahdi Ebrahimi. (2020) K4-free character graphs with seven vertices. Communications in Algebra 48:3, pages 1001-1010.
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MarkL. Lewis & DonaldL. White. (2011) Nonsolvable Groups All of Whose Character Degrees are Odd-Square-Free. Communications in Algebra 39:4, pages 1273-1292.
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Articles from other publishers (22)

Safoura Madady Moghadam & Ali Iranmanesh. (2022) Characterization of some almost simple groups with socle PSp4(q) by their character degrees. Journal of Algebra and Its Applications 22:08.
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Qinghong Guo, Weijun Liu & Lu Lu. (2023) 5-Regular prime graphs of finite nonsolvable groups. Journal of Group Theory 0:0.
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Zeinab Akhlaghi, Silvio Dolfi & Emanuele Pacifici. (2021) On Huppert's rho-sigma conjecture. Journal of Algebra 586, pages 537-560.
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MAHDI EBRAHIMI. (2020) THE CHARACTER GRAPH OF A FINITE GROUP IS PERFECT. Bulletin of the Australian Mathematical Society 104:1, pages 127-131.
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Babak Miraali & Sajjad M. Robati. (2020) Non-solvable groups each of whose character degrees has at most two prime divisors. Journal of Algebra and Its Applications 20:03, pages 2150030.
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Mahdi Ebrahimi. (2020) Character graphs with diameter three. Proceedings of the American Mathematical Society 148:11, pages 4615-4619.
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MAHDI EBRAHIMI. (2019) CHARACTER GRAPHS WITH NONBIPARTITE HAMILTONIAN COMPLEMENT. Bulletin of the Australian Mathematical Society 102:1, pages 91-95.
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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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Runshi Zhang & Shitian Liu. (2016) A characterization of linear groups $$L_3(q)$$ L 3 ( q ) by their character degree graphs and orders. Boletín de la Sociedad Matemática Mexicana 24:1, pages 123-131.
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Shitian Liu & Yunxia Xie. (2016) A characterization of L 3(4) by its character degree graph and order. SpringerPlus 5:1.
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Xia Yang. (2014) Divisibility among even character degrees. Monatshefte für Mathematik 178:4, pages 645-651.
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Yang Liu & Ziqun Lu. (2014) A note on Huppert's ρ – σ conjecture: An improvement on a result by Casolo and Dolfi. Journal of Algebra and Its Applications 13:07, pages 1450031.
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Hung P. Tong-Viet. (2013) Groups whose prime graphs have no triangles. Journal of Algebra 378, pages 196-206.
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Mark L. Lewis & Donald L. White. (2013) Four-vertex degree graphs of nonsolvable groups. Journal of Algebra 378, pages 1-11.
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Liguo He & Gang Zhu. (2012) Nonsolvable normal subgroups and irreducible character degrees. Journal of Algebra 372, pages 68-84.
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Thomas P. Wakefield. (2010) Verifying Huppert’s Conjecture for PSp4(q) when q > 7. Algebras and Representation Theory 15:3, pages 427-448.
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Tianze Li, Yanjun Liu & Xueling Song. (2010) Finite nonsolvable groups whose character graphs have no triangles. Journal of Algebra 323:8, pages 2290-2300.
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Donald L. White. (2009) Degree Graphs of Simple Groups. Rocky Mountain Journal of Mathematics 39:5.
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Mark L. Lewis. (2008) An Overview of Graphs Associated with Character Degrees And Conjugacy Class Sizes in Finite Groups. Rocky Mountain Journal of Mathematics 38:1.
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Donald L. White. (2008) Degree graphs of simple orthogonal and symplectic groups. Journal of Algebra 319:2, pages 833-845.
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John K. McVey. (2007) Simple groups and strong covers. Journal of Algebra 314:1, pages 1-16.
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Mark L. Lewis & Donald L. White. (2007) Diameters of degree graphs of nonsolvable groups, II. Journal of Algebra 312:2, pages 634-649.
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