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The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph

Author

Listed:
  • Siqiang Yang

    (School of Mathematical Science, Guizhou Normal University, Huaxi District, GuiYang 550000, China
    These authors contributed equally to this work.)

  • Xianhua Li

    (School of Mathematical Science, Guizhou Normal University, Huaxi District, GuiYang 550000, China
    These authors contributed equally to this work.)

Abstract

Let G be a finite group. In this paper, we study how certain arithmetical conditions on the conjugacy class lengths of real elements of G influence the structure of G . In particular, a new type of prime graph is introduced and studied. We obtain a series of theorems which generalize some existed results.

Suggested Citation

  • Siqiang Yang & Xianhua Li, 2021. "The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph," Mathematics, MDPI, vol. 9(17), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2060-:d:622541
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