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arXiv 2009-12-04 0 views

Character degree sums in finite nonsolvable groups

Magaard, Kay · Tong-Viet, Hung P.

Original · EN

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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