2025/02/09 by Junwei Zhang, Zhang, Junwei, Ping Jin +2
Computer Science · Mathematics · #20C20 #Advanced Combinatorial Mathematics #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)
paper · pdf · doi:10.48550/arxiv.2502.05771
openalex publication_date 2025/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let p be an odd prime, and suppose that G is a p-solvable group and φ∈ \rm IBr(G) has vertex Q. In 2011, Cossey, Lewis and Navarro proved that the number of lifts of φ is at most |Q:Q'| whenever Q is normal in G. In this paper, we present an explicit description of the set of lifts of φ with a given vertex pair (Q,δ) under a weaker condition on Q, and thus generalize their result.