Kent State University

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19932026

most citedExperimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions

3.4k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2015 · math.GRShow all

4 papers · 2 filters

math.GR2015

Centralizers of Camina $p$ -groups of nilpotence class $3$

Mark L. Lewis

Let $G$ be a Camina $p$ -group of nilpotence class $3$ . We prove that if $G^{'} < C_{G} (G^{'})$ , then $∣ Z (G) ∣ \leq ∣ G^{'} : G_{3} ∣^{1/2}$ . We also prove that if $G / G_{3}$ has only one or two abelian…

math.GR2015

Fitting heights of solvable groups with no nontrivial prime power character degrees

Mark L. Lewis

We construct solvable groups where the only degree of an irreducible character that is a prime power is $1$ and that have arbitrarily large Fitting heights. We will show that we ca…

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 $∣ G ∣ \leq e^{4} - e^{3}$ …

math.GR2015

The character degree ratio and composition factors of a finite group

Mark L. Lewis, Hung Ngoc Nguyen

For a finite non-abelian group $G$ let $\rat(G)$ denote the largest ratio of degrees of two nonlinear irreducible characters of $G$ . We prove that the number of non-abelian composi…

Centralizers of Camina p-groups of nilpotence class 3

Fitting heights of solvable groups with no nontrivial prime power character degrees

Finite groups with an irreducible character of large degree

The character degree ratio and composition factors of a finite group

Centralizers of Camina $p$ -groups of nilpotence class $3$