Year: 2026
Type: article
Abstract: Suppose that G is a finite solvable group, V is a finite faithful completely reducible G -module over a field of characteristic p . In this paper, we first give explicit bounds for the degrees of the irreducible characters of G in terms of | V | in the two cases where $$3\not \mid |G|$$ 3 ∤ | G | or where the semidirect product GV has abelian Sylow 2-subgroups, respectively. We then use these results to study a conjecture of Navarro.
Source: Monatshefte für Mathematik
Authors: Linfeng Zhong, Jidong Guo, Yong Yang
Institutions: Yili Normal University, Texas State University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W7155069443