6 papers
Finite groups with a unique real -block
Yu Zeng, Fuming Jiang
Let be a prime, and let be a -block of a finite group . A -block is called \emph{real} if the set of irreducible ordinary characters contained in is invari…
Hall complement numbers
Yu Zeng, Hangyang Meng
A positive integer is termed a \emph{Hall number} if every finite group whose order is precisely divisible by possesses a Hall subgroup of order . Seeking generaliza…
An infinite family of counterexamples to a question of Camina
Yu Zeng
A.R. Camina and R.D. Camina posed in [CC06] the following question: Suppose there are two finite groups, one nilpotent and the other non-nilpotent, and the two groups share identic…
On -parts of conjugacy class sizes and the index of the -core
Yu Zeng, Jinbao Li, Yong Yang
For a prime and an arbitrary finite group , we show that if does not divide the size of each conjugacy class of \emph{-regular} element (element of order not divi…
Finite groups of non-prime-power order with exactly four character codegrees
Yu Zeng, Mehdi Ghaffarzadeh, Mohsen Ghasemi +1
For an irreducible complex character \(χ\) of a finite group \(G\), the \emph{codegree} of \(χ\) is defined as the ratio \(|G : \ker(χ)| / χ(1)\), where \(\ker(χ)\) represents the…
Finite groups with exactly two nonlinear irreducible -Brauer characters
Fuming Jiang, Yu Zeng
Let be a prime. We classify the finite groups having exactly two irreducible -Brauer characters of degree larger than one. The case, where the finite groups have orders not…