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Let G be a nonsolvable group and Irr(G) the set of irreducible complex characters of G. We consider the nonsolvable groups whose character degrees have special 2-parts and prove that… Click to show full abstract
Let G be a nonsolvable group and Irr(G) the set of irreducible complex characters of G. We consider the nonsolvable groups whose character degrees have special 2-parts and prove that if χ(1)2 = 1 or ∣G∣2 for every χ ∈ Irr(G), then there exists a minimal normal subgroup N of G such that N ≅ PSL(2, 2n) and G/N is an odd order group.
Keywords:
character degrees;
degrees special;
nonsolvable groups;
special parts;
groups whose
Journal Title: Frontiers of Mathematics in China
Year Published: 2021
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Journal Title: Frontiers of Mathematics in China
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!