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On Huppert’s Conjecture for 3 D 4(q), q ≥ 3

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Abstract

Let G be a finite group and cd(G) be the set of all complex irreducible character degrees of G. Bertram Huppert conjectured that if H is a finite nonabelian simple group such that cd(G) = cd(H), then G ≅ H × A, where A is an abelian group. In this paper, we verify the conjecture for the family of simple exceptional groups of Lie type 3 D 4(q), when q ≥ 3.

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Authors and Affiliations

  1. School of Mathematical Sciences, North-West University (Mafikeng), Mmabatho, 2735, South Africa

    Hung P. Tong-Viet

  2. Department of Mathematics and Statistics, Youngstown State University, One University Plaza, Youngstown, OH, 44555, USA

    Thomas P. Wakefield

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  1. Hung P. Tong-Viet
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  2. Thomas P. Wakefield
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Correspondence to Hung P. Tong-Viet.

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Tong-Viet, H.P., Wakefield, T.P. On Huppert’s Conjecture for 3 D 4(q), q ≥ 3. Algebr Represent Theor 16, 471–490 (2013). https://doi.org/10.1007/s10468-011-9316-0

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  • DOI: https://doi.org/10.1007/s10468-011-9316-0

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