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Nonsolvable D 2-groups

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Abstract

Let G be a finite group. Let Irr1(G) be the set of nonlinear irreducible characters of G and cd1(G) the set of degrees of the characters in Irr1(G). A group G is said to be a D 2-group if |cd1(G)| = |Irr1(G)| − 2. The main purpose of this paper is to classify nonsolvable D 2-groups.

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Authors and Affiliations

  1. Beijing International Center for Mathematical Research, Peking University, Beijing, 100871, P. R. China

    Yang Liu

  2. Department of Mathematics, Tsinghua University, Beijing, 100084, P. R. China

    Zi Qun Lu

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  1. Yang Liu
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  2. Zi Qun Lu
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Correspondence to Yang Liu.

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Liu, Y., Lu, Z.Q. Nonsolvable D 2-groups. Acta. Math. Sin.-English Ser. 31, 1683–1702 (2015). https://doi.org/10.1007/s10114-015-4669-7

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  • DOI: https://doi.org/10.1007/s10114-015-4669-7

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