13 citations · 37 across the 17 of their papers we have counts for
7 papers · 1 filter
On the commuting probability and supersolvability of finite groups
Paul Lescot, Hung Ngoc Nguyen, Yong Yang
For a finite group , let denote the probability that a randomly chosen pair of elements of commute. We prove that if for some integer and splits…
On the average character degree of finite groups
Alexander Moretó, Hung Ngoc Nguyen
We prove that if the average of the degrees of the irreducible characters of a finite group is less than 16/5, then is solvable. This solves a conjecture of I.M. Isaacs, M.…
Controlling composition factors of a finite group by its character degree ratio
James P. Cossey, Hung Ngoc Nguyen
For a finite nonabelian group let $\rat(G)$ be the largest ratio of degrees of two nonlinear irreducible characters of . We show that nonabelian composition factors of a…
Complex group algebras of the double covers of the symmetric and alternating groups
Christine Bessenrodt, Hung Ngoc Nguyen, Jørn B. Olsson +1
We prove that the double covers of the alternating and symmetric groups are determined by their complex group algebras. To be more precise, let be an integer, a finit…
Variations of Landau's theorem for p-regular and p-singular conjugacy classes
Alexander Moreto, Hung Ngoc Nguyen
The well-known Landau's theorem states that, for any positive integer , there are finitely many isomorphism classes of finite groups with exactly (conjugacy) classes. We stu…
On the number of conjugacy classes of -elements in finite groups
Attila Maroti, Hung Ngoc Nguyen
Let be a finite group and be a set of primes. We show that if the number of conjugacy classes of -elements in is larger than times the -part of then $…