On the odd order composition factors of finite linear groups
On the odd order composition factors of finite linear groups
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DOI：
10.1515/jgth-2019-0183
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发表时间：
2020-06
影响因子：
0.5
通讯作者：
Alexander Betz;Max Chao-Haft;Ting Gong;A. Ter-Saakov;Yong Yang
中科院分区：
文献类型：
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作者：
Alexander Betz;Max Chao-Haft;Ting Gong;A. Ter-Saakov;Yong Yang
摘要本文研究了有限线性群的复合级数中奇数次复合因子的阶积。首先推广了Manz和Wolf关于奇阶可解线性群的阶的结论。然后利用这一结果求出有限线性群的复合级数中奇数次复合因子的阶积的界。
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.