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Recognition of the simple group \(\mathrm {PSL}(2, p)\) by one character degree and order

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Abstract

In [4], the authors proved that the simple group \(\mathrm {PSL}(2,p)\) is uniquely determined by its order and its largest and the second largest irreducible character degrees. In this paper, we prove that the simple group \(\mathrm {PSL}(2,p)\) is uniquely determined by its order and the second largest irreducible character degrees.

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Acknowledgments

The authors are thankful to the referee for carefully reading the paper and for his suggestions and remarks.

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Authors and Affiliations

  1. Department of Mathematics, Farhangian University, Sari, Mazandaran, Iran

    Alireza Khalili Asboei

  2. Department of Mathematics, Buinzahra Branch, College of Engineering, Islamic Azad University, Buinzahra, Iran

    Alireza Khalili Asboei & Reza Mohammadyari

Authors
  1. Alireza Khalili Asboei
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  2. Reza Mohammadyari
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Correspondence to Alireza Khalili Asboei.

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Communicated by J. S. Wilson.

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Asboei, A.K., Mohammadyari, R. Recognition of the simple group \(\mathrm {PSL}(2, p)\) by one character degree and order. Monatsh Math 182, 1–3 (2017). https://doi.org/10.1007/s00605-015-0849-x

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  • DOI: https://doi.org/10.1007/s00605-015-0849-x

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