10 papers
On the invariants of finite groups arising in a topological quantum field theory
Christopher A. Schroeder, Hung P. Tong-Viet
In this paper, we investigate structural properties of finite groups that are detected by certain group invariants arising from Dijkgraaf--Witten theory, a topological quantum fiel…
Groups with a conjugacy class that is the difference of two normal subgroups
Mark L. Lewis, Lucia Morotti, Emanuele Pacifici +2
We consider finite groups having a conjugacy class that is the difference of two normal subgroups. That is, suppose is a group and and are normal subgroups so that $N <…
Orders of commutators and Products of conjugacy classes in finite groups
Hung P. Tong-Viet
Let be a finite group, let , and let be a prime. We prove that the commutator is a -element for every if and only if is central modulo $\m…
Some generalizations of Camina pairs and orders of elements in cosets
Thu T. H. Quan, Hung P. Tong-Viet
In this paper, we investigate certain generalizations of Camina pairs. Let be a nontrivial proper subgroup of a finite group . We first show that every nontrivial irreducibl…
Sylow subgroups and the number of irreducible characters of degrees divisible by a prime
James P. Cossey, Mark L. Lewis, A. A. Schaeffer Fry +1
Let be a finite group and a prime. We establish an upper bound for the derived length of a Sylow -subgroup of in terms of the number of irreducible characters of …
Finite groups whose maximal subgroups have almost odd index
Christopher A. Schroeder, Hung P. Tong-Viet
A recurring theme in finite group theory is understanding how the structure of a finite group is determined by the arithmetic properties of group invariants. There are results in t…