Finite Groups Whose All Proper Subgroups Have Only Irreducible Characters of Square-free Degrees

Authors

  • Shitian Liu School of Mathematics, Sichuan University of Arts and Science, and Center for Applied Mathematics of Guangxi, China
  • Xiaoqiang Luo School of Mathematics, Sichuan University of Arts and Science, China
  • Hongmei Jiang School of Mathematics, Sichuan University of Arts and Science, China

DOI:

https://doi.org/10.7546/CRABS.2024.04.01

Keywords:

simple group, nonlinear irreducible character, proper subgroup

Abstract

Lewis determined the structure of finite groups whose irreducible character odd-degrees are square-free. In this paper, we give an identification of the structure of non-solvable groups whose proper subgroups have only square-free degrees.

Author Biographies

Shitian Liu, School of Mathematics, Sichuan University of Arts and Science, and Center for Applied Mathematics of Guangxi, China

Mailing Address:
School of Mathematics,
Sichuan University of Arts and Science,
Dazhou Sichuan, 635000, P. R. China

and

Center for Applied Mathematics of Guangxi
(Guangxi Normal University),
Guilin Guangxi, 541001, P. R. China

E-mail: s.t.liu@yandex.com

Xiaoqiang Luo, School of Mathematics, Sichuan University of Arts and Science, China

Mailing Address:
School of Mathematics,
Sichuan University of Arts and Science,
Dazhou Sichuan, 635000, P. R. China

E-mail: lxq1128@163.com

Hongmei Jiang, School of Mathematics, Sichuan University of Arts and Science, China

Mailing Address:
School of Mathematics,
Sichuan University of Arts and Science,
Dazhou Sichuan, 635000, P. R. China

E-mail: jiang229213@126.com

Downloads

Published

26-04-2024

How to Cite

[1]
S. Liu, X. Luo, and H. Jiang, “Finite Groups Whose All Proper Subgroups Have Only Irreducible Characters of Square-free Degrees”, C. R. Acad. Bulg. Sci. , vol. 77, no. 4, pp. 477–484, Apr. 2024.

Issue

Vol. 77 No. 4 (2024)

Section

Mathematics

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