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A short note on Isaacs–Navarro’s Theorem

  • M. Yasir KızmazEmail author
Article
  • 23 Downloads

Abstract

In this short note, we give a character free proof to a result of Isaacs–Navarro.

Keywords

Coprime action Real elements Quaternion-free groups 

Mathematics Subject Classification

20D10 20F28 

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Notes

Acknowledgements

I would like to thank Prof. I. Martin Isaacs for taking my attention on this topic.

References

  1. 1.
    Isaacs, I.M.: Finite Group Theory. Graduate Studies in Mathematics, vol. 92. American Mathematical Society, Providence, RI (2008)zbMATHGoogle Scholar
  2. 2.
    Isaacs, I.M., Navarro, Gabriel: Normal \(p\)-complements and fixed elements. Arch. Math. (Basel) 95(3), 207–211 (2010)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Wei, H., Wang, Y.: The c-supplemented property of finite groups. Proc. Edinburgh Math. Soc. 50, 493508 (2007)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsBilkent UniversityBilkent, AnkaraTurkey

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