2024/04/22 by Xuewu Chang, Ping Jin, Chang, Xuewu +1
Computer Science · Mathematics · #20C15 #20C20 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2404.14125
openalex publication_date 2024/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to confirm an inequality predicted by Isaacs and Navarro in 1995, which asserts that for any π'-subgroup Q of a π-separable group G, the number of π'-weights of G with Q as the first component always exceeds that of irreducible π-partial characters of G with Q as their vertex. We also give some sufficient condition to guarantee that these two numbers are equal, and thereby strengthen their main theorem on the π-version of the Alperin weight conjecture.