9 papers · 1 filter
Characterizing normal Hall subgroups by character degrees, II
Yong Yang
We prove the character-degree assertion of Liu, Yang and Zhang for every proper nontrivial Hall subgroup of a finite simple classical group. Together with their reduction, this pro…
On Intersections of System Normalizers
Ting Gong, Yuan Lu, Yong Yang +1
We give a negative answer to Problem 17.39 of the Kourovka Notebook. For every odd prime power and every , we construct a finite metabelian group with $Z_\inf…
The Codegree Isomorphism Conjecture for Finite Simple Groups
Yong Yang
We prove the codegree isomorphism conjecture for finite simple groups. Thus every nonabelian finite simple group is determined, among finite groups, by its set of irreducible chara…
Brauer character degrees and nilpotent subgroups
Yong Yang
We solve a question raised by Chen and Navarro concerning Brauer characters and nilpotent subgroups. Let , assume that is solvable, and let with $H/N…
Total 3-closure for projective special linear groups
Ting Gong, Yong Yang, Michael Ruofan Zeng
A finite group is totally -closed if every faithful permutation representation of it is -closed. We study this property for the finite simple projective special linear groups…
Commuting pairs in symplectic Lie algebras over finite fields of characteristic two
Liam May, Yong Yang
We find a generating function for the number of ordered commuting pairs of elements in a symplectic Lie algebra over a finite field of characteristic , following the analogous w…