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Paper detail

On the odd order composition factors of finite linear groups

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.

preprint2020arXivOpen access
Alexander BetzMax Chao-HaftTing GongAnthony Ter-SaakovYong Yang
math.GR
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Alexander BetzMax Chao-HaftTing GongAnthony Ter-SaakovYong Yang

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