On Huppert’s Conjecture for 3D4(q), q ≥ 3

被引：0
|
作者：
Hung P. Tong-Viet
Thomas P. Wakefield
机构：
[1] North-West University (Mafikeng),School of Mathematical Sciences
[2] Youngstown State University,Department of Mathematics and Statistics
来源：
Algebras and Representation Theory | 2013年 / 16卷
关键词：
Character degrees; Simple groups; Huppert’s conjecture; 20C15; 20D05;
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摘要：
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 3D4(q), when q ≥ 3.
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页码：471 / 490
页数：19
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