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

Siqiang Yang and Xianhua Li
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Siqiang Yang: School of Mathematical Science, Guizhou Normal University, Huaxi District, GuiYang 550000, China
Xianhua Li: School of Mathematical Science, Guizhou Normal University, Huaxi District, GuiYang 550000, China

Mathematics, 2021, vol. 9, issue 17, 1-11

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.

Keywords: real elements; primary elements; conjugacy class lengths; prime graph; P -groups (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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