Mark L. Lewis

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math.GR2019

Groups where the centers of the irreducible characters form a chain II

Shawn T. Burkett, Mark L. Lewis

In this paper, we determine new characterizations of nested and nested GVZ-groups, including character-free characterizations, but we additionally show that nested groups and neste…

math.GR2015

Finite groups with an irreducible character of large degree

Nguyen Ngoc Hung, Mark L. Lewis, Amanda A. Schaeffer Fry

Let $G$ be a finite group and $d$ the degree of a complex irreducible character of $G$ , then write $∣ G ∣ = d (d + e)$ where $e$ is a nonnegative integer. We prove that $∣ G ∣ \leq e^{4} - e^{3}$ …