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Constructing representations of higher degrees of finite simple groups and covers

机译:构造高阶有限简单组和覆盖的表示

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摘要

Let G be a finite group and. an irreducible character of G. A simple method for constructing a representation affording x can be used whenever G has a subgroup H such that (XH) has a linear constituent with multiplicity 1. In this paper we show that ( with a few exceptions) if G is a simple group or a covering group of a simple group and x is an irreducible character of G of degree between 32 and 100, then such a subgroup exists.
机译:令G为一个有限群and。每当G具有一个子组H使得(XH)具有一个多重性为1的线性成分时,都可以使用一种构造提供x的表示形式的简单方法。在本文中,我们证明G是简单组或简单组的覆盖组,而x是G的不可约性,其程度在32到100之间,则存在这样的子组。

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