38 citations · 154 across the 58 of their papers we have counts for
6 papers · 1 filter
Groups where all the irreducible characters are super-monomial
Mark L. Lewis
Isaacs has defined a character to be super monomial if every primitive character inducing it is linear. Isaacs has conjectured that if is an -group with odd order, then ever…
Lifts of partial characters with respect to a chain of normal subgroups
Mark L. Lewis
In this paper, we consider lifts of -partial characters with the property that the irreducible constituents of their restrictions to certain normal subgroups are also lifts. We…
A group with three real irreducible characters: answering a question of Moreto and Navarro
Mark L. Lewis
In this paper, we construct a group with three real irreducible characters whose Sylow 2-subgroup is an iterated central extension of a Suzuki 2-group. This answers a question rais…
Brauer pairs of Camina p-groups of nilpotence class 2
Mark L. Lewis
In this paper, we find a condition that characterizes when two Camina -groups of nilpotence class 2 form a Brauer pair.
Classifying Camina groups: a theorem of Dark and Scoppola
Mark L. Lewis
Recall that a group is a Camina group if every nonlinear irreducible character of vanishes on . Dark and Scoppola classified the Camina groups that can occu…
The vanishing-off subgroup
Mark L. Lewis
In this paper, we define the vanishing-off subgroup of a nonabelian group. We study the structure of the quotient of this subgroup and a central series obtained from this subgroup.