The simple Ree groups F-2(4)(q(2)) are determined by the set of their character degrees

作者：Tong Viet Hung P^*

来源：Journal of Algebra, 2011, 339(1): 357-369.

DOI：10.1016/j.jalgebra.2011.04.034

• Character degrees
• Simple Ree groups
• Huppert's Conjecture

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 H is the simple Ree group F-2(4)(q(2)), q(2) >= 8, then G congruent to H x A, where A is an abelian group. This verifies Huppert's Conjecture for the simple Ree groups F-2(4)(q(2)) when q(2) >= 8.

• 出版日期2011-8-1