论文标题
使用Shoda对理论的计算方法用于BRAUER WITT定理
A computational approach to Brauer Witt theorem using Shoda pair theory
论文作者
论文摘要
由于brauer和witt引起的经典定理意味着有限组G的理性组代数QG的每个简单组成部分都等同于其中心中包含Q的循环元素代数。从Brauer-Witt定理的证明中，无法获得该环形代数的确切描述，并且鉴于其在中央简单代数的研究中，确定其中心作用是一个有趣的问题。在本文中，描述了一种使用Shoda对理论的方法，从计算角度来看，这是相当有效的。
A classical theorem due to Brauer and Witt implies that every simple component of the rational group algebra QG of a finite group G is Brauer equivalent to a cyclotomic algebra containing Q in its centre. The precise description of this cyclotomic algebra is not available from the proof of the Brauer-Witt theorem and it has been a problem of interest to determine the same in view of its central role in the study of central simple algebras. In this paper, an approach using Shoda pair theory is described, which is quite efficient from computational perspective.
