Ping Jin

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math.GR2025

Lifts of Brauer characters in characteristic two, II

Junwei Zhang, Xuewu Chang, Ping Jin +1

In 2007, J. P. Cossey conjectured that if $G$ is a finite $p$ -solvable group and $I ¨ $ is an irreducible Brauer character of $G$ with vertex $Q$ , then the number of lifts of $I ¨ $ is…

math.GR2025

Counting lifts of irreducible Brauer characters

Junwei Zhang, Xuewu Chang, Ping Jin

Let $p$ be an odd prime, and suppose that $G$ is a $p$ -solvable group and $I ¨ \in IBr (G)$ has vertex $Q$ . In 2011, Cossey, Lewis and Navarro proved that the number of lifts of…

math.GR2024

Character triples and relative defect zero characters

Junwei Zhang, Lizhong Wang, Ping Jin

Given a character triple $(G, N, I^¸)$ , which means that $G$ is a finite group with $N ⊲ G$ and $I^¸ \in Irr (N)$ is $G$ -invariant, we introduce the notion of a $I ¨ $ -…

math.GR2024

Weights for $I ¨ $ -partial characters of $I ¨ $ -separable groups

Xuewu Chang, Ping Jin

The aim of this paper is to confirm an inequality predicted by Isaacs and Navarro in 1995, which asserts that for any $I ¨ ^{'}$ -subgroup $Q$ of a $I ¨ $ -separable group $G$ , the number o…

Lifts of Brauer characters in characteristic two, II

Counting lifts of irreducible Brauer characters

Character triples and relative defect zero characters

Weights for I¨-partial characters of I¨-separable groups

Weights for $I ¨ $ -partial characters of $I ¨ $ -separable groups