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Communications in Algebra Volume 52, 2024 - Issue 3
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Research Article

On the characterization of some non-abelian simple groups using codegree set

Hongning Wanga Eastlake High School, Sammamish, Washington, USA
,
Xuning Zhangb College of Science, China Three Gorges University, Yichang, Hubei, ChinaCorrespondence[email protected]
,
Selina Zhangc North Hunterdon High School, Annandale, New Jersey, USA
&
Michelle Chend Dulles High School, Sugar Land, Texas, USA
Pages 1336-1348 | Received 14 Sep 2022, Accepted 12 Sep 2023, Published online: 28 Oct 2023

References

  • Ahanjideh, N. (2022). Nondivisibility among irreducible character co-degrees. Bull. Aust. Math. Soc. 105:68–74. DOI: 10.1017/S000497272100037X.
  • Akhlaghi, Z., Bahri, A., Khosravi, B. (2021). An analogue of Huppert’s conjecture for character codegrees. Bull. Aust. Math. Soc. 104:278–286. DOI: 10.1017/S0004972721000046.
  • Alizadeh, F., Behravesh, H., Ghaffarzadeh, M., Ghasemi, M., Hekmatarah, S. (2019). Groups with few codegrees of irreducible characters. Commun. Algebra 47:1147–1152. DOI: 10.1080/00927872.2018.1501572.
  • Aziziheris, K., Shafiei, F., Shirjian, F. (2021). Simple groups with few irreducible character degrees. J. Algebra Appl. 20:2150139. DOI: 10.1142/S0219498821501395.
  • Bianchi, M., Chillag, D., Lewis, M. L., Pacifici, E. (2007). Character degree graphs that are complete graphs. Proc. Amer. Math. Soc 135(3):671–676. DOI: 10.1090/S0002-9939-06-08651-5.
  • Bray, J., Holt, D., Roney-Dougal, C. (2013). The Maximal Subgroups of the Low-Dimensional Finite Classical Groups. London Mathematical Society Lecture Note Series, Vol. 407. Cambridge: Cambridge University Press.
  • Chillag, D., Herzog, M. (1989). On character degrees quotients. Arch. Math. 55:25–29. DOI: 10.1007/BF01199110.
  • Conway, J.H., Curtis, R.T., Norton, S.P., Parker, R.A., Wilson. R.A. (1984). Atlas of Finite Groups. London: Oxford University Press.
  • Gintz, M., Kortje, M., Laurence, M., Liu, Y., Wang, Z., Yang, Y. (2022). On the characterization of some non-abelian simple groups with few codegrees. Commun. Algebra 50:3932–3939. DOI: 10.1080/00927872.2022.2049807.
  • Guan, H., Zhang, X., Yang, Y. Recognizing 2G2(q) using the codegree set. Bull. Aust. Math. Soc. 108(1):125–132. DOI: 10.1017/S0004972722001022.
  • Isaacs, I.M. (1976). Character Theory of Finite Groups. New York, NY: Academic Press.
  • James, G., Kerber, A. (1981). The Representation Theory of the Symmetric Group. Boston, MA: Addison-Wesley Publishing Company.
  • Liu, Y., Yang, Y. (2023). Huppert’s analogue conjecture for PSL(3,q) and PSU(3,q). Results Math. 78:Article number: 7.
  • Moretó, A. (2007). Complex group algebras of finite groups: Brauer’s problem 1. Adv. Math. 208(1):236–248. DOI: 10.1016/j.aim.2006.02.006.
  • Qian, G., Wang, Y., Wei, H. (2007). Co-degrees of irreducible characters in finite groups. J. Algebra 312:946–955. DOI: 10.1016/j.jalgebra.2006.11.001.
  • Suzuki, M. (1962). On a class of doubly transitive groups. Ann. Math. 75:105–145. DOI: 10.2307/1970423.
  • Wang, H., Zhang, X., Zhang, S., Chen, M. On the characterization of some non-abelian simple groups using codegree set. https://arxiv.org/abs/2211.05287.
  • Ward, H. N. (1966). On Ree’s series of simple groups. Trans. Amer. Math. Soc. 121:62–89. DOI: 10.2307/1994333.

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