38 citations · 154 across the 58 of their papers we have counts for
69 papers
Solvable groups whose monomial, monolithic characters have prime power codegrees
Xiaoyou Chen, Mark L. Lewis
In this note, we prove that if is solvable and is a -power for every nonlinear, monomial, monolithic or every nonlinear, monomial, monolit…
On groups that can be covered by conjugates of finitely many cyclic or procyclic subgroups
Yiftach Barnea, Rachel Camina, Mikhail Ershov +1
Given a discrete (resp. profinite) group , we define to be the smallest number of cyclic (resp. procyclic) subgroups of whose conjugates cover . In this paper we…
Group elements whose character values are roots of unity
Mark L. Lewis, Lucia Morotti, Hung P. Tong-Viet
We classify all finite groups which possesses an element such that every irreducible character of takes a root of unity value at .
Conjugacy classes of maximal cyclic subgroups of metacyclic -groups
M. Bianchi, R. D. Camina, Mark L. Lewis
In this paper, we set to be the number of conjugacy classes of maximal cyclic subgroups of a finite group . We compute for all metacyclic -groups. We show that…
The Average of Some Irreducible Character Degrees
Ramadan Elsharif, Mark L. Lewis
We are interested in determining the bound of the average of the degrees of the irreducible characters whose degrees are not divisible by some prime that guarantees a finite gr…
Groups having all elements off a normal subgroup with prime power order
Mark L. Lewis
We consider a finite group with a normal subgroup so that all elements of have prime power order. We prove that if there is a prime so that all the elem…