Character degree sums in finite nonsolvable groups

2009/12/04 by Kay Magaard, Magaard, Kay, Hung P. Tong-Viet +1
Mathematics · #20C15 #20D05 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20C15 #msc:20D05

paper · pdf · doi:10.48550/arxiv.0912.0875

5 pages

arxiv created 2010/04/15 · arxiv updated 2010/04/16

Abstract

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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