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The Simple Ree groups are determined by the set of their character degrees
to appear in J. Algebra
In this paper, we verify Huppert's Conjecture for the simple Ree groups. In this paper, we verify Huppert's Conjecture for the simple Ree groups.
Character degree sums in finite nonsolvable groups
"Co-authored with K. Magaard". Published in J. Group Theory.
Let N be a minimal normal nonabelian subgroup of a finite group G. We will show that there exists a nontrivial... more Let N be a minimal normal nonabelian subgroup of a finite group G. We will show that there exists a nontrivial irreducible character of N of degree at least 5 which is extendible to G. This result will be used to settle two open questions raised by Berkovich and Mann, and Berkovich and Zhmud.