Nonsolvable groups whose irreducible character degrees have special 2-parts
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DOI: 10.1007/s11464-021-0984-8
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… read more here.
Keywords: character degrees; degrees special; nonsolvable groups; special parts ... See more keywords
On class sizes and primitive character degrees of p-solvable groups
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DOI: 10.1080/00927872.2020.1814793
Abstract: Abstract We improve a result of Isaacs et al. with respect to character degrees and class sizes of finite groups [1, Corollary D]. read more here.
Keywords: primitive character; sizes primitive; character degrees; class sizes ... See more keywords
Character degrees of 5-groups of maximal class
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DOI: 10.1515/jgth-2023-0103
Abstract: Abstract Let 𝐺 be a 5-group of maximal class with major centralizer G 1 = C G ( G 2 / G 4 ) G_{1}=C_{G}({G_{2}}/{G_{4}}) . In this paper, we prove that the irreducible… read more here.
Keywords: group maximal; maximal class; character degrees;