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- Argonne National LaboratoryUS410 papers
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5 papers · 2 filters
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.
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.