H. Tong‐Viet

activity

20092026

most citedGroups whose prime graphs have no triangles

28 citations · 117 across the 32 of their papers we have counts for

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Showing 2011Show all

5 papers · 1 filter

math.GR2011★ 1 cited

Projective special linear groups $P S L_{4} (q)$ are determined by the set of their character degrees

Hung Ngoc Nguyen, Hung P. Tong-Viet, Thomas P. Wakefield

Let $G$ be a finite group and let $c d (G)$ be the set of all irreducible complex character degrees of $G$ . It was conjectured by Huppert in Illinois J. Math. 44 (2000) that, for eve…

math.GR2011★ 26 cited

Simple classical groups of Lie type are determined by their character degrees

Hung P. Tong-Viet

In this paper, we will show that nonabelian simple classical groups of Lie type are uniquely determined by the structure of their complex group algebras.

math.GR2011★ 20 cited

Symmetric groups are determined by their character degrees

H. P. Tong-Viet

Let $G$ be a finite group. Let $X_{1} (G)$ be the first column of the ordinary character table of $G .$ In this paper, we will show that if $X_{1} (G) = X_{1} (S_{n}),$ then $G ≅ S_{n} .$ As a c…

math.GR2011★ 12 cited

The Simple Ree groups $^{2} F_{4} (q^{2})$ are determined by the set of their character degrees

H. P. Tong-Viet

Let $G$ be a finite group. Let $cd (G)$ be the set of all complex irreducible character degrees of $G .$ In this paper, we will show that if $cd (G) = cd (H),$ where…

math.GR2011

Simple exceptional groups of Lie type are determined by their character degrees