TITLE:
A Note on Average Codegrees of All Proper Subgroups of Finite Groups
AUTHORS:
Wei Xie, Shitian Liu
KEYWORDS:
Simple Group, Character Codegree Sum, Proper Subgroup
JOURNAL NAME:
Applied Mathematics,
Vol.16 No.4,
April
16,
2025
ABSTRACT: Let
G
be a finite group and let
T(
G
)
be the sum of codegrees of complex irreducible characters of a group
G
. Say
f(
G
)=
T(
G
)
| G |
. We prove that a finite group
G
such that for all proper subgroup
H
,
1.1<f(
H
)<1.3
, is solvable.