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Published in 2021 at "Frontiers of Mathematics in China"
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…
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Keywords:
character degrees;
degrees special;
nonsolvable groups;
special parts ... See more keywords
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Published in 2020 at "Communications in Algebra"
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].
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Keywords:
primitive character;
sizes primitive;
character degrees;
class sizes ... See more keywords