On Huppert's conjecture for G2(q), q ≥ 7

被引：12

作者：

Tong-Viet, Hung P. ^{[1
]}

Wakefield, Thomas P. ^{[2
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Sci, ZA-3209 Pietermaritzburg, South Africa

[2] Youngstown State Univ, Dept Math & Stat, Youngstown, OH 44555 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2012年 / 216卷 / 12期

关键词：

MAXIMAL-SUBGROUPS; CHARACTER; SET;

D O I：

10.1016/j.jpaa.2012.03.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group and let 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 congruent to H x A, where A is an Abelian group. In this paper, we verify the conjecture for the family of simple exceptional groups of Lie type G(2)(q) for q >= 7. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：2720 / 2729

页数：10

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