Abstract In this paper, we study the product of orders of composition factors of odd order in a composition series of a finite linear group. First we generalize a result by Manz and Wolf about the order of solvable linear groups of odd order. Then we use this result to find bounds for the product of orders of composition factors of odd order in a composition series of a finite linear group.

中文翻译：

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关于有限线性群的奇数阶合成因子

摘要 本文研究了有限线性群的合成级数中奇数阶合成因子的阶乘积。首先，我们概括了 Manz 和 Wolf 关于奇数阶可解线性群的阶数的结果。然后我们使用这个结果来找到有限线性群的合成序列中奇数阶合成因子的阶乘积的界限。