Character degree sums in finite nonsolvable groups

Details Character degree sums in finite nonsolvable groups Character degree sums in finite nonsolvable groups

2009-12-04

arxiv.org/abs/0912.0875v2

Mathematics

Group Theory

5 pages

Scientific paper

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'.

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