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arXiv · 1912.00456

On the odd order composition factors of finite linear groups

Alexander Betz·Max Chao-Haft·Ting Gong·Anthony Ter-Saakov·Yong Yang
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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.

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Alexander Betz, Max Chao-Haft, Ting Gong, Anthony Ter-Saakov, Yong Yang. 2019-12-01. On the odd order composition factors of finite linear groups. https://arxiv.org/abs/1912.00456

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